Stochastic discretization for the long-run average - UNC

!"$#&%(')+*,.-/0%1
234+56879*65:;<"#
=?>A@>CB">AD1>EFHGJIHK L/MN>CON>HP9QRTS)G)U?IVXWGJIFY@>ZE[>C\
>]<^`_aVXIb+K
@cQI^edcdJLHfJgcgf
4h iJjk6lnmpoqk
rtsvu wyxpzq{vs}|~w€p|~{}w}‚s}|„ƒz…s}|„ua†(|~{/z‡sv‚wyxp†p|~ˆt‰Š‚Huq‹Œ}‚p}‚{v‚†?s}|~†ŠŽ‡z‡wua†?s}|~†t‰Šua‰p{/yzq†pŠua‘…z…y|“’
z…”–•„‚zq{czHyzq†pŠua—{}‰p˜uq‹p|~|~‚™ šua†Š‚†?s}|~zq•ayzq†pŠua˜…z…y|~z…”–•„‚{›)œ†s}xp|~{)–z…š‚)ž‚z…p–•„Ÿ s}xp|~{
sv‚wyxp†p|~ˆt‰Š‚ svu({vs}‰pŠŸs}xŠ‚•~|~|„s}|~†ŠŽ‡”š‚xpz |„uquq‹cz0{vsvu wyxpzq{vs}|~w ¡–‰p|~40u Š‚•¢›rtš‚w|„£–wzq•~•„Ÿq¤tž‚
wua†p{}|~Š‚zq†|~†Š£–†p|„sv‚€wz…–zqw|„sTŸ4¡–‰p|~(”–‰ ¥š‚¤tžxŠ‚}‚ s}xŠ‚.†Š‚s|~†Š–‰Šs/uq‹)¡–‰p|~4|~{}‚Ža‰p•~z…sv‚¦”tŸ
z0£–†p|„sv‚’T{vs}z…sv‚‡|„}}‚p‰pw|„”–•„‚ wua†?s}|~†t‰Šua‰p{s}|~0‚‡§z…}¨qu6wyxpzq|~†©›§1ua{vs€•„ua†ŠŽ…’ªy‰p†¦š‚}‹Auqyzq†pw‚
wyxpz…yzqwsv‚y|~{vs}|~w{)‹Auqc{}‰pwyx‡zH¡–‰p|~.{vŸ {vsv‚—wzq†‡”š‚+‚™ p}‚{}{v‚‡zq{)s}xŠ‚•„ua†ŠŽ…’ªy‰p†zq‚yz…Žq‚}‚žz…y
‹Auqz{}‰p|„s}z…”–•„ŸwyxŠua{v‚†¦}‚žz…y4{vsvy‰pws}‰Š}‚q›cœ†(s}xp|~{/–z…š‚ž‚ ‰p{v‚€{vsvu wyxpzq{vs}|~w p|~{}w}‚s}|„ƒz…s}|„ua†
uq‹–s}xŠ‚¡–‰p|~‡wua†?sv‚†?s+p}u w‚{}{Jsvu.‚«(w|„‚†?s}•„Ÿ‡Š‚sv‚y|~†Š‚s}xŠ‚•„ua†ŠŽ…’ªy‰p†¬zq‚yz…Žq‚}‚žz…y©›c­Hxp|~{
0‚s}xŠu <svyzq†p{v‹Auqy{€s}xŠ‚wua†?s}|~†t‰Šua‰p{’T{vs}z…sv‚4§z…}¨qu6<p}u w‚{}{.Š‚{}wy|„”–|~†ŠŽ(s}xŠ‚0¡–‰p|~0u Š‚•
|~†?svu¦z4p|~{}w}‚sv‚’T{vs}z…sv‚4® ‰pzq{}|“’T¯|„}s}x ’T°€‚z…s}xp}u w‚{}{› ±‚†pw‚q¤Œ{vs}zq†ppz…ysvutua•~{¤©{}‰pwyx<zq{€s}xŠ‚
z…svy|“™t’ªŽq‚ua0‚svy|~wz…pp}uazqwyx©¤–”š‚wua0‚‡z…zq|~•~z…”–•„‚‹AuqHs}xŠ‚‡zq†pzq•„Ÿ {}|~{uq‹cs}xŠ‚¡–‰p|~4”–‰ ¥š‚›­)u
Š‚0ua†p{vsvyz…sv‚s}xp|~{z…pp}uazqwyx²ž‚(zq†pzq•„Ÿtƒ‚s}xŠ‚ua‰Šsv–‰Šs.uq‹z”–‰ ¥š‚p}u w‚{}{}|~†ŠŽ¦¡–‰p|~<‹A}ua
³ {vua‰Šyw‚{ua†z0´Jµ´+r¦”–zq{}|~{›
¶ ·+¸<¹º»²¼9½9¾.¹¿n»¸
.À ÁšÂÃĖŚÂnƌÇnÄ ÈšÉËÊAŚÂnÌËÂnÅ&ÁšÂnÌˬÊAɀÍ(ΩϚÊAÅКÏ`ÑJÂǹÒÊZÓÁϚȚÆAÊAÃÊZÓÂnÅ1DžÍtÔ©ÍtÇnÊZÓvÕ ÖÀ.ÁšÂ¬ÈšÂ6Ó.ÊAȚԚÏ`ӀÄt×cΩϚÊAÅ
ÊAÉÌËÂnØ ÏšÆCÍ?ÓÂnŘЊ՘ÍtȘÊAÌËÌËÂnŚϚÇnÊAКÆAÂ<ÇnÄ ÈŠÓÊAÈpÏšÄ ÏšÉ1ÓÊAòÙÍtÌËÚtÄqۘÇÁ©ÍtÊAÈÝÜXހÀ‡Ù
Þ.ßÒÊZÓÁNÉyÓÍ?ÓÂ"ÉËÔ©ÍtÇnÂ
àâáäã?å`æ…ç æ…è…è…è6æéëê ÍtȚÅeØ ÂnȚÂnÌÍ?ÓÄ Ì<ì1ÖîívÈeÉyÓÍ?ÓÂï"ð à ÓÁšÂ
ÍtÃÄ ÏšÈŠÓÄt×ΩϚÊAÅeÊAÈNÓÁšÂКÏ`ÑJÂnÌ
ÇÁ©ÍtÈšØ ÂnÉÍ?Ó¬ÌÍ?ÓÂ(ñòϚȚÊZÓɇÔ)ÂnÌÓÊAÃÂ0ϚȚÊZӅրÀ.Á©Í?ÓÊAÉnó©ÊZ×ñòô å ÓÁšÂnÈ"ΩϚÊAÅ"ÊAɬÍtŚŚÂnÅ
Í?ÓÍ1ÇnÄ ÈšÉyÓÍtȊÓ
ÌÍ?ÓÂñò©ÒÁšÂnÈÊAÈÉyÓÍ?ÓÂïËõpÊZ×Jñò/ö å ÓÁšÂnÈΩϚÊAÅ1ÊAÉÌËÂnÃÄqÛ ÂnÅÍ?ÓÍ0ÇnÄ ÈšÉyÓÍtȊÓÌÍ?ÓÂ0÷¬ñò)ϚȊÓÊAÆ`ÓÁšÂ.КÏ`ÑJÂnÌ
ÊAÉÂnÃÔ`ÓvÕ óJÍ?ӇÒÁšÊAÇÁÔ)Ä ÊAȊӇȚÄΩϚÊAÅ"ÊAɇÌËÂnÃÄqÛ ÂnÅcÖ øùÂ4DžÍtÆAÆ+ñò/ÓÁšÂ(ȚÂ6Ó¬ÊAȚԚÏ`Ó¬ÌÍ?ÓÂ(ÊAÈ"ÉyÓÍ?ÓÂ(ïËÖú©Ä Ì
ÉyÓÍtКÊAÆAÊZÓvÕҀÂ(Á©Í…Û Â0ÓÄÌËÂnûpϚÊAÌËÂ0ÓÁ©Í?Ó.ÓÁšÂÃ…ÍtȲȚÂ6ӇÊAȚԚÏ`ÓÌÍ?ÓÂÊAÉ.ȚÂn؊Í?ÓÊZÛ Âtó©ÉËÄ
ü"ý ñö å`æ
þ}ÿ
!"
#$%$& &"')(* $+"-, +". 0/1234."5 "6"/"'37)8 983:;=<
>$?4@ ' >A"B"B :C(* $+"D'$2EF&5
G
ÿ H*9I. ";JH44..D'$, +". 0/)F"K;"5 ';: @?4L"B '!I5DM 5 5N'F8 8OP >Q"Q
ç
RTS)UV4UXWZY\[]W*^$_a`a`a`_4W!bdcfeNgdh=S)UXUiDj)eNkNeNl)V4eNj)mon)eNgh=V4eNl)jph=eNqsrtqIuvh=S)UXV4Uwsj)kyxh=eNr)w{z|xIV4}Iq$~€SxIeNrE‚
xIr)n„ƒ…;Y†[ƒ^a_a`a`a`_ƒ"bdc‡ˆzCqsghˆkNqsr)w‰ŠV4j)rC‹!UVu0qsV4mŒxIr)UfSxIV=xI"h=UV4eNgh=eNgaxIrŽl!UfUp‹)V4Ug4g4UnxIgvh=S)U
kNqsr)w‰ŠV4j)rCxa~sUV=xIwsUfV4U"RxIV4nCu0qsVvx g4j)e‘hxIl)k‘’“n)U"”r)UnŽV4U"RxIV4nŽgh=V4j)"h=j)V4UI‡•S)U-xIeNm–qIu—h=S)eNgT‹xI‹!UVTeNg
h=q n)U"~sUkNqs‹|xIrCU"˜™eNUršhvm™U"h=S)q3n“h=q™n)U"h=UV4m™eNr)Uˆh=S)UkNqsr)w‰ŠV4j)rXxa~sUV=xIwsU1V4U"RxIV4nE‡
• S)U m™U"h=S)q3n„eNgˆlxIg4Un{qsr„gh=q3SxIgh=eNdn)eNg4V4U"h=eN›axh=eNqsrŽqIuh=S)Udqsršh=Uršh1qIuh=S)Udl)jpœ;UV‚e‡ UI‡‘‚;RU
V4U‹)V4Ug4Uršhdh=S)UŒžj)eNnŸqsršh=Uršh™xIg-xŽV=xIr)n)qsmog4j)m qIuTeNeNnUp‹!qsr)Uršh=eyxIkV=xIr)n)qsm¡~IxIV4eyxIl)kNUg‡Ž¢xIS
qIu£h=S)Ug4UdUp‹!qsr)Uršh=eyxIk¤V=xIr)n)qsm¥~IxIV4eyxIl)kNUgvRTeNkNkl!U-axIkNkNUnŽxX¦"§Š¨$©ª)«¦"§¬© ­®)«I¯§®3°d‡K•SDj)gˆRU-}IUU‹
h=V=xI} qIuEh=S)UvrDj)m-l!UVqIuEgh=q3SxIgh=eNiDjxIršhxfeNr h=S)Ul)jpœ;UVV=xh=S)UVh=SxIr™h=S)UˆxI"h=jxIkžj)eNnŒqsršh=Uršha‡
•qŸwsjxIV=xIršh=UU|h=Sxh™h=S)UŽiDjxIršh=j)m±g4eN›Ug“xIV4U|eNn)Uršh=eNaxIkNk‘’tn)eNgh=V4eNl)jph=Un²RUŽr)UUn³h=qŸj)r)e‘u0qsV4m™eN›U
h=S)U{wsUr)UV=xh=eNqsr´qIufžj)eNnµiDjxIršhx€eNr¶xIr¶xI‹)‹)V4qs‹)V4eyxh=UŽRxa’s‡·•S)U{V4Ug4j)k‘hCeNg“h=SxhXh=S)U¸qsV4eNwseNrxIk
qsršh=eNrDj)qsj)g&‰Šghxh=Ufz|xIV4}Iq$~“‹)V4q3Ug4gTn)Ug4V4eNl)eNr)w-h=S)UKžj)eNn“l)jpœ;UVeNgh=V=xIr)gu0qsV4m™Un“eNršh=q xdn)eNg4V4U"h=U‰
ghxh=Uv¹ˆjxIg4eº‰&»eNVh=S3‰&¼ˆUaxh=S½[¹K»¼c‹)V4q3Ug4g‡¾vUr)UI‚šu0qsVh=S)UTxIrxIk‘’3g4eNg¤qIu*h=S)Užj)eNndl)jpœ;UV‚sRUmŒxa’
j)g4Uˆh=S)UK‹!q$RUVu0j)kEh=q3qskNgxa~IxIeNkyxIl)kNUTu0qsV¹K»¼ˆg¿pu0qsVU)xIm™‹)kNUI‚pg4UU1Àxh=qsj)S)UxIr)nCÁvxImŒxIgRxIm™e— Ãć
ÁvxImŒxIgRxIm™eÂÆÅ$ÇÄRxIgdh=S)U“”V4gh h=qxIrxIk‘’3›U½žj)eNn€m™q3n)UkNg-h=S)V4qsj)wsSȹK»¼ˆg™xIr)n€j)g4eNr)w¸mŒxh=V4eº
xIrxIk‘’Dh=eN™m™U"h=S)q3n)g‚—l)jphdS)eNg-xI‹)‹)V4qšxIStxIgfRUkNkxIgfh=S)U½V4Ug4j)k‘h=eNr)w„¹K»¼¥xIV4UŒn)e‘œ;UV4Uršhfu0V4qsmoh=S)U
qsr)UgTn)U"~sUkNqs‹!Un|eNr“h=S)U‹)V4Ug4Uršh‹xI‹!UV‡
• S)Uˆn)eNg4V4U"h=eN›axh=eNqsr™h=US)r)eNiDj)UKSxIgxIkNg4qfl!UUr“j)g4UnXeNrŒÉnxIr½U"hTxIk‡;ÂÆÅs‚)Ê旕S)UKg’3gh=Um–gh=j)n3‰
eNUn“eNr{ ÊÄHeNgx-hŠRq‰ŠkNU"~sUkEh=V=x˜™Kg4SxI‹!UV‡£•S)eNgeNgTx-m™USxIr)eNg4m†u0qsVg4SxI‹)eNr)w™x-UkNkEeNr)‹)jphgh=V4UaxIm
Uršh=UV4eNr)wŒxIrXÉ£•vzor)U"hŠRqsV4}*‡Ë.hTqsr)g4eNgh=gvqIu—xdUkNkEl)jpœ;UVxIr)nCxdh=qs}IUrCl)jpœ;UV‡•S)U1kyxh4h=UVV4Uwsj3‰
kyxh=Ug£h=S)Uvqsjph=‹)jphV=xh=UTqIu;h=S)Uvg4SxI‹!UV‡—•S)U‹!UVu0qsV4mŒxIr)UqIu;h=S)Uvg4SxI‹!UVeNgxIrxIk‘’3›UnŒlš’ j)g4eNr)wfxIr
xI‹)‹)V4qapeNmŒxh=e‘~sUm™q3n)Uk3lxIg4Undqsr xgh=q3SxIgh=eNn)eNg4V4U"h=eN›axh=eNqsrfqIuh=S)Uqsršh=Uršh£qIu*h=S)Uh=qs}IUrdl)jpœ;UV‡
• S)U¸‹xI‹!UV“eNg½qsV4wšxIr)eN›Un´xIgŒu0qskNkNq$RTg‡Zˊr¶Ì3U"h=eNqsrµÊ{RU„”V4ghXeNršh=V4q3n)j)UŽh=S)U„qsršh=eNrDj)qsj)g&‰
ghxh=Užj)eNnCm™q3n)UkHxIr)n|l)V4eNU"ž)’“‹)V4Ug4Uršhˆe‘h=gTghxIr)nxIV4n|xIrxIk‘’3g4eNgTlxIg4Un|qsrCn)e‘œ;UV4Uršh=eyxIkHUiDjxh=eNqsr)g‡
•S)UŒr)U3h-g4U"h=eNqsrn)Ug4V4eNl!Ug1h=S)U h=V=xIr)gu0qsV4mŒxh=eNqsr„h=qŽxXn)eNg4V4U"h=U‰Šghxh=UŒm™q3n)Uk£j)g4eNr)w|gh=q3SxIgh=eN
n)eNg4V4U"h=eN›axh=eNqsrE‡¤•S)UKV4Ug4j)k‘h=eNr)wd¹K»¼ÍeNg‹)V4Ug4Uršh=UnCeNr“Ì3U"h=eNqsr“Î)‡—•S)UˆmŒxIeNrŒV4Ug4j)k‘ha‚pghxh=eNr)w1h=Sxh
h=S)UvkNqsr)w‰ŠV4j)r™xa~sUV=xIwsUV4U"RxIV4n)geNr h=S)UvqsV4eNwseNrxIk3žj)eNn™m™q3n)Uk*xIr)n™h=S)Uˆ¹K»¼µm™q3n)Uk*xIV4UTh=S)Uvg=xIm™UI‚
eNgT‹)V4Ug4Uršh=Un„xIr)nC‹)V4q$~sUnŽeNrŽÌ3U"h=eNqsrŽÏ3‡•S)U1g4‹!UeyxIkHaxIg4U1qIu£x m-j)k‘h=eº‰ŠkyxIg4giDj)Uj)U1eNgh=V4Uaxh=Un|eNr
Ì3U"h=eNqsrCЙxIr)n“”rxIkNk‘’s‚*Ì3U"h=eNqsr|Ñ-‹)V4Ug4Uršh=gg4qsm™UrDj)m™UV4eNaxIkEV4Ug4j)k‘h=g‡
Ò
ӆԙս֣×aÕX؎ԙ؄ÙÚ!Ù֗Û1֗ÜÞÝ{؄×aßáàâÔXߎÜKã
HÀ U"hvä²[]å4cl!U1h=S)Uh=qIhxIkxIm™qsj)ršhvqIu—žj)eNn|eNrXh=S)Ufl)jpœ;UVˆxhTh=eNm™UKå‚;xIr)n|kNU"hKæ-[]å4cl!Uh=S)Ufghxh=U1qIu
h=S)UV4Uwsj)kyxh=eNr)wŒz|xIV4}Iq$~XSxIeNr|xhh=eNm™Uˆå‡•S)U½[]äŽ_æˆc‹)V4q3Ug4gvn)Ug4V4eNl!UgTh=S)Užj)eNnXm™q3n)Uk‚xIr)n
e‘h=ggh=UaxInp’š‰Šghxh=U1n)eNgh=V4eNl)jph=eNqsr
çè []é;cYêkNeNm
éŽñ´òp_ð¤Y¶òp_aÅs_a`a`a`"_óµ_
ë‘ìTíCî []ä²[]å4cï³é_æ-[]å4cYµðŠc_
g=xh=eNg”Ugh=S)UlxIkyxIr)UUiDjxh=eNqsr)g
ô
ç
ç
ô é []é;c¤õö÷Y []é;cø _
Ê
ùTú‘û=üXý!þsÿ
þ)ú‘û=úNþ
!"$#&%'
ùTü()*( ,+-./102,+-3545454)6'7
,+-*38 $9 ;:!=<>&?)3@BA ü(C*("û #&% ())þIûD()Kû=ü(E4ÿ)ý*("û1þF #
ùTú‘û=H
ü G!þ4ú‘û=úJI(B("ûTúKG)ÿpûLDûD())M #N ùTúKOKO-())þIûD(Kû=ü(P4ÿ)ý*("ûvùTú‘û=üH)þRQSG!þ4ú‘û=úJI(T("ûvúKG)ÿpûUDûD() @
V ûTKú W
ù ()OKO&XY)þ$L
ù Cû=ü û ,+- 5CýZ(B(3[ G*()**()ŽúK½ûD()*\]TþFû=ü(P^()()DONúK_)()H(úK^()IONÿ().`a
(Kú ^()I()"û=þ *Tb|þ Fû=
ü (PRDû ()\ cd 9 B û=ü .
û 4þ OJI( `e9f cg b 3@ih ()( 8 ( @ ^ @J8j )úK6Xk("l
û O @nm o2p
m
2
r
p
@
aqK
ÿ OKX2*)ú
s "( ûgt ,+D!S ýZ( û=ü(dDûD(]ûùTü)úKüu*("ùv*úKP(5*(){ùTü()û=ü( ,wx3yT G4þR)()*1úKúKzû6ûD(
,+D!S3@A ü()Xû=ü(PONþ^2QS4ÿ{5I()D^(P*("ùv* > úKL^súJI()Xý
>d |
7
t ,+D!S:Y,+-34
~}0W0 €
‚ þ ûONþ^2QS4ÿEGZ()F0þ*\)(WüD"ûD()4úKû=úK)ƒ5dýZ(v(3[ G*()**()k¤û=ü(vONþ^2QS4ÿE5I()D^(U*("ùv*
F0þW4þ\](.4ÿ)ú‘û6IýOJ](…„()
*("ùv*
DûD(lt ,+D!S3@† þi(3[\]GOK( 8 ÿ4úK^Et ,+D!S‡+ úK\]GONúK()£û=üû >
úK
û=ü(P\](5Xý)ÿ ˆ-()L þšûD()šû 8 Cÿ4 úK^
úJF +x‡ŽZD! M
Iþ û=ü()ùTúK*( 4
t ,+D!SЉŒ ‹
‹
úK\]GONúK()û=üû > úKû=ü(PG4þsýIý)úKONú‘ûS -‘’Ž3@
“ OK(5*OJ 8 F0þû=ü(Cþ\]G)ÿpû6û=úNþŽþF > ùW(d()() ,+-38 Žû=üDÿKû=ü(C^()()DONúK_)()”(úK^()IONÿ()
•( úK^()I()"û=þ*¤þF cd 9 3@1A ü(iþ\]G)ÿpû6û=úNþþF(úK^()IONÿ()1g(úK^()I()"û=þ* 8 ü)þ$ùW(…I() 8 \5
ýZ() þ\](UDÿ\]()4 úK5OKOJÿû6IýOK(ùTü() û=ü(Uû6ûD(U*G)(TþF*û=ü(U*()^sÿO–û=úK^ ‚ *XIþ—ICüIúKdýZ()þ\]()
O–*^( @E˜ ÿpûB0F þT*GZ() ú–Oƒ5*() 8 (…™] úK()šû•$Dÿ\]()4 úK5OKOJa û6I ýOK(EG4 þR)()) ÿ*()1
ü5I( ýZ()()z(…I()O~Q
8
s
m
2
p
þGZ()&M0F þƒ(3[\]GOK( *()( ())úKd]š' û=üDD û=ü ‹ ùTü)þB þ4úK()l› ÿ)úKCDœ ÿ( ÿ(L4 úJI() ýC
ûD4 ÿ5 ûD() ˜ úK û=üRQT(5 û=ükG4 þR)()* @V Xû=ü(B(33[ û.*()" û=úNþ“ùWK
( ùTúKOKOZ(…I()NO þGa{‘O ûD()*û=úJI(T\]"( û=ü)þR
>
,
x
w
3
T
y
û=þx þ\])G ÿpûD( ý{
ûDD0F þ*™
\ úK^Xû=ü(
G4 þR)()* úKšû=þ”a) úK*)*"( ûD(3QS û6 ûD(
ž ˜  @1A ü)úKdž ˜ 
5ŒýZ(.(…™] úK()šûDOJ]OJR_)()Œ
ý]\ ûD4 ú~[YQS^( þ\]"( ûD4 úK
ûD() ü)úKDœ ÿ() 8 û=üDÿv5sI þsúK) úK^Kû=ü(. þ\])G ÿpû6 û=úNþ
@
þF'( úK^()INO ÿ().H( úK^()I()" û=þ*
Ÿ
k¡ƒ¢H£W¤x¥E¦1¡§5£©¨”§5¦ƒ£.ª«l¡§)¬.¥•¡§)¢]­®¥E­”¨®¯”­”§)°¢]ª±²§)¬.¥•¡§)¢]­
j \]()šû=úNþ()ÈýZ(…F0þ*( 8 û=ü(|úK(5¸ýZ(ü)úKû=þRüû=úK{)úK*)*("û=úK_5û=úNþ²þFPzþšû=úKDÿ)þsÿD)þ\
I4ú–IýOK(-úKKû=þH*()G*()*()šû-ú‘û••H4ÿ\¡þFvHD)þ\³Dÿ\-ýZ()þFúNúK”(3[ G!þ()šû=ú–OD)þ\´I4ú~Q
I ýOK() 8 5OKOK()|
û=ü(E û=þR ü û=úKEDœ ÿšû6 @Tµ (dGGOJX
û=ü)úK
úK(5™
û=þ½û=ü(E þšûD()šûþF£û=ü(g›ÿ)úKŽý)ÿ ˆ-() @
A ü(B4 úK_)()T
þ
F û=ü(TDœ ÿšû6d*K
( úNúKk(3[ !
G þ()šû=ú–O 8 ùTü)úK üXúK\]GNO úK()
û=ü û 8 þ)K
( ùW(BXY)þ$ù¶û=ü(BDÿ\ ýZ()
8
þF'Dœ ÿšû6 úK“û=ü
( ý)ÿ ˆ-() ùW(gOK4 þdXY)þ$ù¶û=ü(P) úK ûD4 úNý)ÿpû=úNþ“þ
F û=ü(•" û=ÿH
O ý)ÿ ˆ-()L þšûD()šû @
o
¶n·…¸•¹ºP»¼*º¸g½·)º*¾)¼*¿KÀZ·dÁ—ÃĸDÁ·dÅY¹ÆEÀZ·)¼•ÂÇWº¸DÂR¾6ÁȺ¸D¿K¾dÉY¹ÈŸ6È{¿KŔ¸DÁ·dÀ¹ Ê-·)¼•¾6ÁÈÅË·)ºPÃL¿J¸DÁ
¸D¿KÆ]·ÌlÍT¹ÈŸ6Èkȼ*·•ÂÅÎJÏaȽ½·)½x½¹¼*¿KÅËÐZ·)¼*¿KÂR½ºLÃLÁ·)Åx¸DÁ·E¼*·)˹ΖÈ2¸D¿KÅËÑaȼ*Ò—Óx¾6ÁÈ¿KŔÔÕ¿Kº.¿KÅxÈ
º¸6È2¸D·•ÖÃL¿J¸DÁa×6ØƒÙ‡Ú ÌiÛv¸.¸DÁ·•ÀZ·)Ë¿KÅÅ¿KÅËdÂǃº*¹¾6ÁxÈdÐZ·)¼*¿KÂR½H¸DÁ·•À¹ Ê-·)¼L¼*·)¾)·)¿JÓ·)ºBÈdÉY¹ÈŸD¹ÆÝܒ¿Ì ·ÌJÞ
¸DÁ·dÅY¹ÆEÀZ·)¼PÂÇWÉY¹ÈŸ6Ègß*¹Æ]кPÀÏáàãâ3Þn¸DÁ·dº*¿Kä)·dÂÇiÃLÁ¿K¾6Áz¿KºB¿KÅ¿J¸D¿–ÈÎKÎJÏHä)·)¼*ÂÞÀ¹ ¸•¿Kž)¼*·5Ⱥ*·)ºBÃL¿J¸DÁ
¼DÈ2¸D·L×6Øe¹Å¸D¿KÎ ¸DÁ¿KºÐZ·)¼*¿KÂR½C·)Žº)ÞR¿Ì ·ÌJÞRԁÆÈÒ·)ºÈT¸D¼DÈź*¿J¸D¿KÂÅE¸D•ÈŸDÁ·)¼º¸6È2¸D·ÌåWÎK·5ȼ*ÎJϕ¸DÁ·Lº*¿Kä)·UÂÇ
¸DÁ·lÅ·…ÇÉY¹ÈŸD¹ÆæÈ½½·)½k¿Kºi·3ç ÐZÂÅ·)ŸD¿–ÈÎKÎJÏd½¿Kº¸D¼*¿KÀ¹ ¸D·)½]ÃL¿J¸DÁÆ]·5ÈÅaèl×6Øé2ê…ØëØ=̃ìUÁ¿KºW¿KÆ]Æ]·)½¿–È2¸D·)ÎJÏ
¼*·…Ó·5ÈÎKº.ÈC¾)ÂÆ]ÐÎK¿K¾5È2¸D¿KÂÅ&í¸DÁ·Pº*¿Kä)·)ºLÂÇ1¸DÁ·PÉY¹ÈŸ6È]ȼ*·BŸL¿K½·)ŸD¿K¾5ÈÎKÎJÏ]½¿Kº¸D¼*¿KÀ¹ ¸D·)½&ÞÀ¹ ¸.½·)ÐZ·)Ž
ÂŔ¸DÁ·Cº¸6È2¸D·C¿KÅxÃLÁ¿K¾6Á”¸DÁ·…ÏaÃW·)¼*·dË·)Å·)¼DÈ2¸D·)½&ÌEì1ÂH—ӷ)¼*¾)ÂÆ]·E¸DÁ¿KºBм*ÂÀÎK·)ÆîÃW·d¹Å¿Jǒ¼*Æ]¿Kä)·•¸DÁ·
Ë·)Å·)¼DÈ2¸D¿KÂÅïÂÇLÉY¹ÈŸ6È Þ¿Ì ·ÌJÞ'ÃW·k¿KŸD¼*ÂR½¹¾)·kȼ¸D¿J»¾)¿–Èη…Ó·)ŸDºC¸DÁÈ2¸EÂR¾)¾)¹¼gÃL¿J¸DÁï¼DÈ2¸D·kð3ØvÃLÁ¿KÎK·kÔ
¿Kº]¿KŐº¸6È2¸D·aÖ*ÌìUÁ·)Å&Þv¸DÁ·aº*¿Kä)·aÂÇT¸DÁ·aÅ·…ÃñÉY¹ÈŸD¹Æò¿Kž)¼*·5Ⱥ*·)º]ÃL¿J¸DÁ¼DÈ2¸D·x×6Øl¹Å¸D¿KÎ.·)¿J¸DÁ·)¼kÔ
ß*¹Æ]кv¸DÂ]ÈŸDÁ·)¼Lº¸6È2¸D·B¼LÈÅ{ȼ¸D¿J»¾)¿–ÈÎ-·…Ó·)ŸlÂR¾)¾)¹¼*º)ÞÃLÁ¿K¾6Á·…Ó·)¼.ÁÈÐÐZ·)źL»¼*º¸5ÌóSÅ
¸DÁ·PΖÈ2¸*¸D·)¼
¾5Ⱥ*·]È
º*·)¾)ÂŽzÉY¹ÈŸD¹Æô¿KºBȽ½·)½&ÌCó=¸DºPº*¿Kä)·C˼*—ÃLºBÃL¿J¸DÁ$¼DÈ2¸D·d×6عŸD¿KÎÞnÈËÈ¿KÅ&Þ&·)¿J¸DÁ·)¼•ÔÄÎK·5È5Ó·)º
º¸6È2¸D·EÖ*Þ-¼TÈÅ$ȼ¸D¿J»¾)¿–ÈÎn·…Ó·)ŸDºPÂR¾)¾)¹¼*º)ÞnÈŽxº*Â
ÂÅ&õ-¸DÁ¿Kºl¼*·)ÐZ·5È2¸DºT¹Å¸D¿KÎ1·…Ó·)ŸD¹ÈÎKÎJϔԁß*¹Æ]к.¸DÂ
ÈŸDÁ·)¼.º¸6È2¸D·ÌTåWÎK·5ȼ*ÎJÏÞ¸DÁ·•¸D¸6ÈÎ&ÓÂÎK¹Æ]·gȽ½·)½a¸DÂ]¸DÁ·gÀ¹ Ê-·)¼.ÃLÁ¿KÎK·EÔö¿Kº.¿KÅ{º¸6È2¸D·gÖW¼*·)ÆÈ¿Kź
¸DÁ·”ºDÈÆ]·õT¸DÁ·”ÅY¹ÆEÀZ·)¼
ÂǕÉY¹ÈŸ6È÷Ƚ½·)½‡½¹¼*¿KÅËu¸DÁ¿KºkÐZ·)¼*¿KÂR½¿KºkË·)ÂÆ]·…¸D¼*¿K¾5ÈÎKÎJÏ὿Kº¸D¼*¿KÀ¹ ¸D·)½
ÃL¿J¸DÁHÆ]·5ÈŔàUèïð3Øé2ê…ØëØ1ÈŽ
¸DÁ·Pº*¿Kä)·BÂÇ1·5Ⱦ6Á{ÉY¹ÈŸD¹Æø¿Kºv·3ç ÐZÂÅ·)ŸD¿–ÈÎKÎJϽ¿Kº¸D¼*¿KÀ¹ ¸D·)½
ÃL¿J¸DÁ
Æ]·5ÈÅ
×6ؒéÜð3Øeèuê…ØëØâ3Ìì1Â]Ⱦ6Á¿K·…Ó·P¸DÁÈ2¸U¸DÁ·Bº*¿Kä)·)ºLÂǃÈÎKÎ-ÉY¹ÈŸ6È]ȼ*·B·3ç ÐZÂÅ·)ŸD¿–ÈÎKÎJϽ¿Kº¸D¼*¿KÀ¹ ¸D·)½
ÃL¿J¸DÁ
¸DÁ·
ºDÈÆ]·BÐȼDÈÆ]·…¸D·)¼LùiÞÃW·Pº*·…¸Tð3Ø&úù'×6Ø û÷ê…ØëØ1¿KÅHº¸6È2¸D·PÖÃL¿J¸DÁ{×6Ø1ÙÚ ÞÃLÁ·)¼*·
ù$úöØKÆ
ü ý’þKÈãÿç
è.ê…ØëØ
×6Ø
Üâ
ìUÁ·)Åa¿J¸U¿KºU¼*·5Ƚ¿KÎJÏÓ·)¼*¿J»·)½H¸DÁÈ2¸L¸DÁ·PÆ]·5ÈÅHº*¿Kä)·PÂÇ'·5Ⱦ6Á{ÉY¹ÈŸD¹Æø¿KºBàãéùiÌ
Só ÅHº¸6È2¸D·)ºUÖ'ÃL¿J¸DÁH×6؇Úg¸DÁ·BÉY¹ÈŸ6ÈCȼ*·T½¼DÈ¿KÅ·)½HÈ2¸U¼DÈ2¸D·Eèl×6Ø=ÞÂÅ·TÉY¹ÈŸD¹Æ/È2¸LÈg¸D¿KÆ]·Þ ÈŽ
¼*·)Æ]—ӷ)½{Ⱥvº*ÂRÂÅHȺW¸DÁ·…Ï
ȼ*·T·)Æ]Ð ¸SÏÌ.·)ž)·ÞÃLÁ¿KÎK·BÔ ¿KºW¿KÅ
º¸6È2¸D·TÖ*ÞÉY¹ÈŸ6ÈCȼ*·T¼*·)Æ]—ӷ)½
ÃL¿J¸DÁ
¼DÈ2¸D·•ð3Ø=ÞÃLÁ¿K¾6Á{¿KºUÅ—à ½·…»Å·)½xȺ.ð3Ø&úöèlù'×6ØSÌ
¶n·…¸
ïÜ*âT½·)ŸD·C¸DÁ·dÅY¹ÆEÀZ·)¼PÂÇWÉY¹ÈŸ6ÈH¿KŔ¸DÁ·dÀ¹ Ê-·)¼•È2¸B¸D¿KÆ]·3ÌCìUÁ·)Åz¸DÁ·¹¿K½zÆ]ÂR½·)Î
¾5ÈÅ÷ÈÎKº*ÂaÀZ·½·)º*¾)¼*¿KÀZ·)½÷ÀÏz¸DÁ·”Ü
3ÔTâPм*ÂR¾)·)º*º)̼•¸DÁ¿Kºgм*ÂR¾)·)º*ºgÃW·ÃvÈŸC¸DÂx½·…¸D·)¼*Æ]¿KÅ·]¿J¸Dº
º¸D·5Ƚ ÏSº¸6È2¸D·•½¿Kº¸D¼*¿KÀ¹ ¸D¿KÂÅ
Ü
ïÜ*âú!3ÔEÜ*âú‡ÖSâ
ÜDÖSâúñÎK¿KÆ
" ž)·g¸DÁ¿Kº.½¿Kº¸D¼*¿KÀ¹ ¸D¿KÂÅa¿Kº.ÒYÅ—ÃLÅ&Þ-ÃW·E¾5ÈŔ¾)ÂÆ]й ¸D·#Ü$-â.ÈŽa¸DÁY¹ºl¸DÁ·gÎKÂÅË%S¼*¹ÅxÈ5Ó·)¼DÈË·E¼*·&
Ãvȼ*½('ZÞ'º*¿Kž)·ÞƒË¿JÓ·)Åu¸DÁ·ÅY¹ÆEÀZ·)¼EÂÇUÉY¹ÈŸ6ÈxÈ2¸CÈÅïȼ*À¿J¸D¼DȼÏ$ÐZ¿KŸg¿KÅz¸D¿KÆ]·Þ¸DÁ·)¿K¼•º*¿Kä)·)ºCȼ*·
¿KŽ·)ÐZ·)Ž·)ŸTÈŽH·3ç ÐZÂÅ·)ŸD¿–ÈÎKÎJÏk½¿Kº¸D¼*¿KÀ¹ ¸D·)½
ÃL¿J¸DÁHÆ]·5ÈÅ$àãéùiÌ
.—ÃW·…Ó·)¼)Þ¸DÁ·)¼*·¿KºEÈHǒ¹¼¸DÁ·)¼E¾)ÂÆ]ÐÎK¿K¾5È2¸D¿KÂÅ&íP¸DÁ·”Ü
3ÔTâPм*ÂR¾)·)º*ºE¿Kº*),+%-/.02143+%57602)Ì{ìUÁ·
¼*·5Ⱥ*ÂÅu¿KºP¸DÁÈ2¸•¸DÁ·]Á¿Kº¸D¼ÏzÈ2¸P¸D¿KÆ]·8B·3çȾ…¸DÎJÏz½·…¸D·)¼*Æ]¿KÅ·)ºP¸DÁ·]º*¿Kä)·)ºgÂÇW¸DÁ·ÉY¹ÈŸ6È{¾)¹¼*¼*·)ŸDÎJÏ
м*·)º*·)Ÿ5ÞZÈŽ
Á·)ž)·Þe¿KÅ9¹·)ž)·)ºU¸DÁ·Tǒ¹ ¸D¹¼*·BÀZ·)ÁÈ5ÓR¿K¼vÂǸDÁ·]Ü
3ÔTâiм*ÂR¾)·)º*º)ÌiìUÁ·)¼*·…ǒ¼*·TÃW·•Ⱦ…¸
ȺgǒÂÎKÎK—ÃLº)íC·5Ⱦ6Áï¸D¿KÆ]·]ÃW·»Å¿Kº*Áï»ÎKÎK¿KÅËaÈaÉY¹ÈŸD¹Æ{ރÃW·
¿KÆ]Æ]·)½¿–È2¸D·)ÎJÏx¼*·)ÐΖȾ)·k¿J¸gÀÏáÈŸDÁ·)¼
ÂÅ·Þ¸DÁ·•º*¿Kä)·•ÂÇ'ÃLÁ¿K¾6Áa¿KºL·3ç ÐZÂÅ·)ŸD¿–ÈÎKÎJÏk½¿Kº¸D¼*¿KÀ¹ ¸D·)½HÃL¿J¸DÁ{Æ]·5ÈÅuàãéùáÈŽa¿KŽ·)ÐZ·)Ž·)ŸlÂǃ¸DÁ·
Á¿Kº¸D¼ÏÌåWÎK·5ȼ*ÎJÏÞ2¸DÁ¿Kº1Ó·)¼*º*¿KÂÅdÂǸDÁ·PÜ
3ÔTâм*ÂR¾)·)º*º¿KºÑaȼ*Ò—ÓR¿–ÈÅ&ÞÀ¹ ¸¿J¸Dº'º¸DÂR¾6ÁȺ¸D¿K¾vÀZ·)ÁÈ5ÓR¿K¼
¿KºL½¿JÊ-·)¼*·)Ÿ.ǒ¼*ÂÆæ¸DÁ·•¼*¿KË¿KÅÈÎ-ÂÅ·Ì:.—ÃW·…Ó·)¼)Þ&ȺLÃW·PÃL¿KÎKÎ&º*Á—ÃöΖÈ2¸D·)¼UÂÅ&Þe¿J¸Dº<;=6>86-6)?BÀZ·)ÁÈ5ÓR¿K¼
@
2A BDCA2EFEFGHJIKA%L4MJCONQP%RS2TVU&WRAYXZMJ[4A2\ZM8[FM^]:A2[FCDE<A2[FMM&_DA2H^L4`abL4cDME4A2d*M8A2EeL4cDM8GZ[FIQ\ZIQBfA2`hgD[FGHJMJEFEJijVB
L4cDMkEFMJlnmDMJ`oDL4cDM*pqr&sutgD[FGHJMJEFEv]IQ`Q`w[FM^xMJ[:L4G8IL4EybA2[Fz2G7XIKA2B{XZMJ[FEFIQGZB|i~}GZd*Mu`QIQd*ILA%L4IQGZBDE€G2xL4cDIQE
L4[4A2BDEF`KA%L4IQGZBL4G*A*ybA2[Fz2G7XIKA2BgD[FGHJMJEFEeA2[FM<M&_9gD`KA2IQBDMJC‚IQB{L4cDM<HJGZBDHJ`QmDCDIQBD\8EFMJH^L4IQGZB|i
ƒ
„†…ˆ‡Š‰Œ‹YŽ/€‡e‘‡/’w“‘”•‘‡—–™˜›š
œž‚‰ˆ‡kŸ
cDMˆpqr&sutugD[FGHJMJEFEHJGZBDE¡L4IL4m9L4MJEAbybA2[Fz2G7X¢gD[FGHJMJEFE<]IL4c¢E¡LA%L4M*EFgfA2HJM£9p¤r4¥Vt&r4¤§¦†¨9r4¥k©!ª~«ni
cDMeEFM^Lvª(d¬AYa8­wM/gfA2[¡L4IL4IQGZBDMJC®IQBL4Gª¯o9A2BDC{ª|°onCDMJBDG2L4IQBD\•L4cDM/EFmD­DEFM^L4E~]IL4c*BDGZB±VgwGZEFIL4IXZM/A2BDC
gwGZEFIL4IXZMBDM^LkIQBDgDm9Lu[4A%L4MJEJi cDML4[4A2BDEFIL4IQGZBb[4A%L4MJE/x[FGZd²E¡LA%L4M‚p¤r4¥Vt/A2[FMCDMJgDIQH^L4MJCŒIQB³f\ZmD[FM´Zµ|IL
EFcDG7]EL4cfA%L/lnmfA2BLA*A2[FMk\ZMJBDMJ[4A%L4MJCOp[FMJd*G7XZMJC¶tvA%L[4A%L4M•·&¸“Ix¹¸“º»p½¼ut¡¨9oD]cDMJ[FMpEFMJM}MJH^L4IQGZB¾t
·&¸h¿†ÀÂÁ
¹¸9ÃÅÄ^¸Æ¸ÇIx¹¸“º§¨9µ
Ix¹¸“¼!¨9É
È Á ¹¸
Ê 2G L4M/L4cfA%L~IQB*E¡LA%L4MJE<p¨9r4¥Vt]IL4c¬¥Ë©¢ª¯{CDG7]B]:A2[FCL4[4A2BDEFIL4IQGZBDEA2[FMeBDG2L~gwGZEFEFIQ­D`QMp­wMJHYA2mDEFM/L4cDMJ[FM
A2[FM<BDG®lnmfA2BLAt&o¶A2BDCE¡LA%L4MJEp¨9r4¥Vt~]IL4c‚¥Ë©ª|°A2[FMkL4[4A2BDEFIQMJBLYi
¤ËÃ~´Zr4¥
·&¸
¤r4¥
¥Ë©ª|°
Ä^¸ Ì
Ï ©ª|°
¤ËÃ~´Zr Ï
Î
Î
Ä^¸=Í
Ä^¸ Ì
¥Ë©ª¯
©ª¯
¤r
¤ËÃ~´Zr Ï
¤r4¥
Î
Ä^¸=Í
¤r
Ï ©ª|°
Î
©ª¯
·&¸
¤ È ´Zr4¥
Ð IQ\ZmD[FM8´ZÑ [4A2BDEFIL4IQGZB{[4A%L4M<CDIKA2\Z[4A2dG2x“L4cDM¬pqr&sut~gD[FGHJMJEFEJi
Ò a¬gfA2[¡L4IL4IQGZBDIQBD\kL4cDMeE¡LA%L4MeEFgfA2HJMuIQBL4G`QM^XZMJ`QE~¤on]cDMJ[FMk`QM^XZMJ`w¤bIQEL4cDMeEFM^Lu£9p¤r4¥Vt&r4¥€©ª~«noL4cDM
\ZMJBDMJ[4A%L4GZ[G2x“L4cDM¬pqr&sut~gD[FGHJMJEFE/HYA2B‚­wM<gDm9L/IQB{L4cDMkxGZ[Fd
ÓÔ
Ô
Ô
¨
¨
¨
¨
¨
ÔՓÖ<¨ ×ÙØeÚ
¨
Øe¨ ÛÜØ<¨ ×ÝØeÚ
ii Øeii ÛÜØ<ii ×ÞØe
i Úi i i i
i
i Øei Ûߨ<i ×Þ
ØeÚ
Ô
ÉYÉYÉ àJáá
ÉYÉYÉ áá
ÉYÉYÉ á
ÉYÉYÉ
i i iâ
]cDMJ[FM
r
r
A2BDC
2A [FM/EFlnmfA2[FMed¬A%L4[FIQHJMJEËG2x|GZ[FCDMJ[:ãÙÃ(´ZµnL4cDM/BDGZBDäJMJ[FGMJ`QMJd*MJBL4EG2x|L4cDMJEFM
d¬A%L4[FIQHJMJEA2[FMk\ZIXZMJB­a
ØeÚ Ø<× ØeÛ
Ö<×
Ä^¸ Ìår»¥/¿ æ Ï 4r ¥©ªr Ï ©ª|°r
¥/¿ æ Ï r4¥Ë©¢ªr Ï ©ª¯r
Ï t€¿ À Ä^¸ Ìår
p¥Fr Ï t€¿ À
p
F
¥
r
·&¸çr西 Ï 4r ¥©ª|°µ
Ä^¸Æ¸ È ·&¸Vr»¥¿ Ï r4¥Ë©¢ª:µ
ØeÚ
Ø<×
é
êeëåìíFîVïðËñóò&ôVîËíñõïZî4íËö÷øî
ô åî
í ñõ
ïZî4íËö÷îVï¬ö÷øî
ý
O
þ
ÿ
ù<úJìíFîVïðËñüû Æô ôÅò&ôçî»íñõïZî4íËö÷
ÿ ôÆôVî
íñõïZî4íËö÷ø
ÿ
01#2 /
ê 354õê<
ú 4 êeëk7
ñ 6 +8':9 # ; "<
KML N GFH F I137Oî I,ú&>î >> BP IQ "5
îuð !"$#&%('*),+-/."
ì
=>#?@9BAC=D#2 FE # E ".";C98GFH FJI "B FE # E ".";C9RGFH FN ."HGF.
S@PT8 ."L? NUFVXW L@,Y[Z]\]^1#2
I•
Q ñ_I13D` Q î
ìcð
S ñba9î Z î \ î>>>
P ` "* V " V #. <B#2;GF! ."L@ N V #2 edMACKML1#? #2"/KML1#2 ê/3f4gu
` ê<ú
4g` ë êeë:ñha@
ìUinð
jk!GFH FlI13NU .". P NUFV E L?1# 9m ?; k#?&! FV #.""n>#2 oKML1#2 O+ +;
I1å3 ìù<ú
4gu
` êeë^ð€ñh9a î
I1%3 ìUp0q<
` ð øfúr ñ Z î
P p "*8"?B;C9 V #2 ed&#? r 8 ."L V mGFH F P; +st"!=D#2 ì9a î4íVð P;
íËö÷ # $ #"B>1; NU .". PT1#2k! F ?"< “
I ì9a î4íVðu # !n +
v
wqxRy{z,|}5~y€/‚Rƒ(}l€0z„ƒ…}lƒ/†X€,}5‡ˆ
‰CŠ"8H ‹
PTo?HŒ1R HP*# ? #2 UN F %('*),J#?‹ PŽ1#28R. <2A L‹#>GBA
#<F HP*# ? N %('*)"d#H.;98k# V *# N * B"ML LAC=D#2T‘1L"? VR ?.O+
’“H” 얕Q2— ôð:E /(d H?˜ ]™ L  V /"=D#2 ì S î4íVð #?&” ì`Q2— ôð (d H?m D#.
HP*# ?g># ?_?L "<š#{Gt";, ì S î4íVð +›jk D#. HP*# ?_"œ FVR L@?g#,m"B< #. N
HP*# ?! 얞 얟Fð&î4íVð= FŸ GF ,P .",?L #2 N ,Gt";>P ,„#HL1#.JG ."L V N E L@¡¢ #2* E <F""< N "TGt";k"k?"= E L@?˜#*(L VXN Sd B£#."*P; V >#
Z]¤¥_ N5¦ ô5§¨a #?#,L V©N S Z,d B£#."/ N5¦ô5ª«aˆì ,HP¬KML1#BL V " VR C9
#2k!=D# ð + W PhPT!?HŒ1! HP*# ? #2( ì S î4íVð "m=D#2 ì S î4íVð #
 ì S î4íVðËñ ” ” ìì–`•Q2Q2— — ôôð ð îu
ð“ " V #>9 E T"B H?œ#JT#>GF #<F HP*# ?,># ? V 5L;
P"."5 ì
"T"o=D#2 ì S î4íVð +5':9oL"<0 V VRF 9t." F C9 N $d B£#.¢?"= E L@ „PT(>#
? ;GF0#œ VR ." d NUF  ì S î4íVð # NU .". P­:®(;GF&1#2/#2#¯# E ; # 9 "B"m V îu
ðT "k"m=D#2 ì S î4íVð !"n N #.".¢KML1#BD#„"m E L@¡¢ 1"."L?"<, ì
E "<„ VR "? F Œ1."."?1# (d B£#.".;9?"= E L@?mP; V >#šZ]¤¥:+5
ž î4íVðFð&î
ìOZ° ð
 ì S î4íVð€ñ ” ì  얈
P ! #? FV G# £# E ." ž "*!L VXN Sšd B£#."*P; V >#šZ]¤¥:+
±
²k³1´2µ:µ³¶·"¸F¹º2»C¼½¹R´>¾F¶¼´ºF¶¼¶H¿*´¼ÀÁ:¸Â¢µ³¶0ÃĘů$Çf´¹ÀÖÈ{ÅÆ$Çɼ¸tʶÁÁ¶Á*´¼¶kµ³¶Á´ËR¶Ê>´¹
Ì(
¶ Á¶¶¹˜´Á*ÂU¸F·"·"¸Í¿ÁÎfϓ¶Hµ½ÁkÁ½ÉɸFÁ¶(µ³1´2µ´2µ*Ð5ÑbÒ0µ³¶$Ó1½Ô"À Ì ½@Õ¢¶¼kÔ"Á*¶ËRÉ@µC֍´¹À¯ÆhÔ"Á*Ô"¹mÁ=µD´2µ¶
×OØÍÙ À¶¹¸µ¶œµ³¶œµÔ"ËR¶,¸Â:µ³¶oÚB»Ûµ³š¶H¾F¶¹Bµ&Öµ¼´¹ÁÔ;µÔ"¸F¹ÜÇÔ"¹{µ³¶¯ÃĘů$Ç/ɼ¸tʶÁÁ Ì Öݢބ´¹ÀŠÀ¶Hß1¹¶
à/Þ(´ÁTµ³¶/µ¸µD´·¢¼¶H¿*´¼À&¶>´¼¹¶ÀmÔ"¹µ³¶$Ô"¹Bµ¶¼=¾´·lá Ý¢ÞHâ1ãÅÝ¢Þä5Ö¿³¶¼¶$Ý Ø ÑbÒBÇål²k³¶¹mµ³¶$·"¸F¹º2»C¼½¹
´>¾F¶¼´ºF¶8¼¶H¿*´¼À˜¸ÂJµ³¶oÃĘů$ÇTɼ¸tʶÁÁÊ>´¹ Ì ¶!ʸFËRɽ@µ¶À˜´Á
·ÞD"æÔ"Ë çgè Ãà!ãǓéëêÍÖݢêÍê]ÞÍé Ç è Ãà/ÞÍÇ ì
è
²k³¶0Ô"ËRɸF¼=µD´¹Bµ¸ Ì Á¶¼=¾´2µÔ"¸F¹˜Ô"Ákµ³1´2µ>íÜ¿³¶¹¯¿T¶mîHïRðîñ(µ³¶mÃĘů$Ç*ɼ¸tʶÁÁ/¸F¹˜µ³¶8¶H¾F¶¹Bµ$µÔ"ËR¶Á
Ý Ø ÅÝ
ãÅÝ¢ò>Å ì>ì>ì ÃUÁ¸,¿T¶(À¸œ¹¸µk¸ Ì Á¶¼=¾F¶(µ³¶$·"¶¹ºµ³ÁTÝ¢Þ:óÝ¢ÞHâ1ã:¸Â“µ³¶(Ô"¹Bµ¶¼»C¶H¾F¶¹BµkµÔ"ËR¶ÁDÇíMµ³¶¹&Ô;µ
Ô"ÁfÁ=µ¸tÊD³1´Á=µÔ"Ê>´·"·;Ö8Ô"À¶¹BµÔ"Ê>´·tµ¸$µ³¶*¸F¼Ô"ºFÔ"¹1´·t¹¸F¹t»=ô¯´¼õ¸Í¾tÔ£´¹˜ÃĘů$ÇJɼ¸tʶÁÁ Ù ¶Ë Ì ¶ÀÀ¶ÀR´2µl¶H¾F¶¹Bµ
µÔ"ËR¶Áítµ³¶!ÁÔ"ö¶Á¸Â
µ³¶!÷M½1´¹BµD´R´¼¶(½¹õM¹¸Í¿¹{´¹À&Ô"Ô"À¶ø@ɸF¹¶¹BµÔ£´·"·;ÖoÀÔ"Á=µ¼Ô Ì ½@µ¶Àå:ùt¸í@ÂU¸F¼k¶>´ÊD³
Úí
µ³¶oÀÔ"Á=µ¼Ô Ì ½@µÔ"¸F¹¸Â8ÃěÖݢÞÍÇÅÆ,ÖݢÞ>ÇÇ(Ô"Á(µ³¶RÁ´ËR¶RÔ"¹ Ì ¸µ³š¾F¶¼ÁÔ"¸F¹Á0¸ÂTµ³¶{ÃĘů$Ç(ɼ¸tʶÁÁå
²k³M½Á Ãà/ÞÍÇf´¹À ÖݢÞóRÝ¢ÞHâ1ãÇf´¼¶*µ³¶Á´ËR¶íM´¹À„³¶¹Ê¶íMµ³¶Ô"¼l·"¸F¹º2»C¼½¹„´>¾F¶¼´ºF¶¼¶H¿*´¼ÀÁål²J¸
ʸFËRÉ·"è ¶Hµ¶,µ³¶„´¼ºF½è ËR¶¹Bµ>퓿T¶„¹¸µ¶œµ³1´2µ(µ³¶„·"¸F¹º2»C¼½¹š´>¾F¶¼´ºF¶„¼¶H¿*´¼ÀЏÂ:µ³¶„¹¸F¹t»=ô¯´¼õ¸Í¾tÔ£´¹
ÃĘů$Ç/ɼ¸tʶÁÁ!Ô"Áí
¸ÂTʸF½¼Á¶í
Ô"À¶¹BµÔ"Ê>´·µ¸mµ³¶„¸F¹¶œ¸Â:µ³¶¯Ã–È{ÅÆ$Ç/ɼ¸tʶÁÁåoú$½¼(ß1¹ÀÔ"¹ºFÁ(¸F½¼
Á½ËRËo´¼Ô"ö¶ÀmÔ"¹mµ³¶(ÂU¸F·"·"¸Í¿Ô"¹º0µ³¶¸F¼¶Ë˜å
û0ü
ýMþÜÿ]ý
îñDî0ÖÈ{ÅÆ$Çñ î!#"%$&Dî0ÃĘů$Ç
01'2î 3.M
î 2î 4#ñ5768.9'î2šð;:
?
ç
>
?
5„=
Ñ <
9Ã D
Å × FÇ EHG 9à D¢ÇlÑ >I J-K ?MLN ÃPOÅ × Ç ÃPOÅ × ÇÅ
Ø
C
B
B
Ø%A
4 2î î
î )ïoî+*,-./
'î (
B
@
ÃPOÅ × Ç,Q.9'î2Šð;:SRUT;VW-YX[Z0\^]
_‹¶R¹¸Í¿ ´ÉÉ·;Ö{µ³¶R´ Ì ¸Í¾F¶„¼¶Á½·;µ!µ¸˜À¶Hµ¶¼ËRÔ"¹¶,µ³¶RËR¶>´¹Š´¹ÀŠÀÔ"Á=µ¼Ô Ì ½@µÔ"¸F¹¸Â:µ³¶ Ì ½@Õ¢¶¼
ʸF¹Bµ¶¹Bµ>å(Û` Âl¿T¶,µD´õ¶ Ã9D
Å × ÇkÑaD
í¢µ³¶¹b5&ÖtÔ"¶·"ÀÁµ³¶,ËR¶>´¹ Ì ½@Õ¢¶¼/ʸF¹Bµ¶¹Bµ ÖȊÇådc1¼¸FË ÃWeFÇÔ;µ
ÂU¸F·"·"¸Í¿Á:µ³1´2µ*µ³¶(ʸF¼¼B ¶ÁɸF¹ÀÔ"¹º„¼¶H¿*´¼À&¼´2µ¶$Ô"¹µ³¶(ÀÔ"Áʼ¶Hµ¶(ËR¸tÀ¶·¢Ô"Á*¶÷M½1´è ·¢µ¸ ÃPOÅ × Ç5ÑfOhgi:å
jÁÔ"¹ºg²k³¶¸F¼¶Ëketåml‹´¹ÀhÁ½ Ì Á=µÔ;µ½@µÔ"¹º_µ³¶‹Ëo´2µ¼ÔeøM»CºF¶¸FËR¶Hµ¼Ô"ʘÂU¸F¼Ë ÃnBǍ¸Â N ÃPB OÅ × ÇÔ"¹Bµ¸gµ³¶
¶ø@ɼ¶ÁÁÔ"¸F¹˜ÂU¸F¼%
5 ºFÔ;¾F¶Á
J^o
o
ç
ÖȊÇlÑ i l >J N Ø Oà Ñ i l N Ø ÃPp0óqà!Ç âtò à ì
Ø
è
@
²k³Ô"Á¶ø@ɼ¶ÁÁÔ"¸F¹¯Ê>´¹ Ì ¶(ÂU½¼=µ³¶¼ÁÔ"ËRÉ·"Ô;ß1¶À Ì Öm½ÁÔ"¹ºœµ³¶!Ô"À¶¹BµÔ;µCÖ
N Ø ÃPp0ó_à!Ç â1ã Ñrq
ì
t þÜÿ]
þ uuPvÿ wx,yz
î!ïoî š;ð 0{$2î -7C2î 7#,Q.9'2î š;ð : o
ÖȊÇ5Ñ i l q:ÃPp0óqà!Ç â1ã à ì
è
|
ÃsBÇ
}~0€ƒ‚~!„;…^†‡Vˆ‰~Ё‹V~!Œ,,†m,ŽV‘V,’F“3,”Vˆ‰,…^Ž•…–‹V~!”Vˆ‰—˜~;“+„;…^Ž™~;Ž™S”™š1ˆV’3,ŽV›‹V~“3~2‚%œ“3
“œ-~!^m^~;ŽY,ŽŸž¡ Hˆ7œ-,…^Žf¢[£¥¤0¦¨§#šr¢W©^¤d‹V~‘“3~2‚%œ“3Y“œ-~!ªV¢P«8¬­®¤„;…^“3“3~;’3‡…^ŽVV,ŽVb…b‹V,’ƒ“3~2‚%œ“3
“œ-~’F“3ˆV„2ˆV“3~,’U^m^~;Ž›”™š
ªV¢P«8¬­®¤¯±°
È
£³²µ´-¶·)¸º¹¼»¾¿V¶7À ½ ¢ÁÃÂV¤ ¾;Ä^ÅÆ
m–ë•Çfȉ¬­8¯ÊÉ7Ë
…‹V~;“F‚³,’3~Ì
¢WÍ^¤
ÎU‹V,’U,††~;VÏœ-~;ŒmšŠŒ,~)œV’%…‹V~(–P…^Œ,Œ,…‚³,ŽVƒ~0€‰‡V“3~;’3’3,…^ŽÐ–P…^“%‹V~(’F~)œ‰š™Ñ®’Fœ-~V,’F“3,”Vˆ‰,…^Ž‘…–Á‹V~
”Vˆ‰—˜~;“³„;…^Ž™~;Ž™)¦
҃ÓÕÔ¥ÓÖÖP×VÔØxÙÚ,ÛÝÜÃÞ-ß+àá9á ‘ÇfÈbâ9ã¡ä Þ-ám奿 ã9ä à ã
ç!¢PÂV¤è¯fébêì냲µí(´ ¶·îðﶉñ‰òó¸ô Ì
õ Ô¥ÓÓÕö÷³ø ˆV”V’Fmˆ‰,ŽVS‹V~“3~2‚%œ“3›“œ-~!¢WÍ^¤%œŽV›,V~;Ž™m®š•¢ù™¤#‚~+…^”‰œ,Ž
ç˜ú-¢PÂV¤û¯
ü
ü
¢P«8¬­®¤[ªV¢P«8¬­®¤ ¯
î »-ý þ òÿ
À ¢Pë+²µí¤ ¶7½ ´ú²
¯
ÿ
¯
¯
ÿ
À ¢Pë+²µí¤ ¶7½ ´ú²
ÿ
À ü
» ¿VÀ ÿ
£³²µ´ ¶·)¸ ü» ¶7½
À í » ´ú
´ ¶·)¸
¾¿VÀ
¢ÁÃÂV¤ ¾
ÅÆ
À ¢P냲µí¤ ¶7½ í
ÿ
麴ú²Ÿéºí(´ ¶·îðﶉñ‰òó¸ ´ úÌ
ü
¾¿VÀ
¢ÁÃÂV¤ ¾
ÅÆ
í » ´ú
ü » ´¿V¶¾·) ¸ ½ ¢Á8ídÂV¤ ¾ ´ú
ÅÆ
¾¿VÀ
!
#"
&% ('
2!
$
®Ž!‹V,’#’3~;„2,…^Ž!‚~d„;…^ŽV’3,V~;“#‹V~Q’3mˆ7œ-,…^ŽŠ‹7œ-#‹V~d,ŽV„;…^†,ŽV 7ˆV,!,’#‡V“3…VˆV„;~; ”™š
’3…^ˆV“3„;~;’
ŽHˆV†”~;“3~;1£^¬)Ì)Ì)Ì2¬ Ÿ¦¡ÎU‹V~,ŽV‡Vˆ‰U“œ-~;’³…–º‹V~;’3~’3…^ˆV“3„;~;’œ“3~(“3~;^ˆVŒÏœ-~;Ð”™š!‹V~ bœ“ … ‡V“3…„;~;’3’
+ËV,ŽÐ’Fœ-~­
Y‹V~,ŽV‡Vˆ‰³“œ-~…–8’3…^ˆV“3„;~ Å ,’ ¾ ¦¡ÎU‹V~ 7ˆV,Ð…–Á‹V~
’3…^ˆV“3„;~;’Qœ„;„;ˆV†ˆVŒÏœ-~;’
þ
,Ž!‹V~(”Vˆ‰—˜~;“ ‰‚³‹V~;“3~m%,’“3~;†…^~;bœ-%„;…^ŽV’FœŽ™“œ-~ Õ¦èÎU‹HˆV’U‹V~(ŽV~2U,ŽV‡Vˆ‰U…– 7ˆV, ,Ž‘’Fœ-~(­
,’U~; Hˆ7œŒh…
)
+*-,
$
"
/.
3
1.
!
0"
54 . þ ¾ ²6.ÕÌ
¾¿
ÎU‹V~!7ˆV, ,’%‡V“3…„;~;’3’3~;b…^Ž›œ878,“3’FFÑ:9…^†~18
7 ,“3’FF½Ñ ø ~;“F^~;Ð”7œ’3,’;<78Œ,ˆV, œ“3“3m,ŽVSœ-%,†~=#‚³,Œ,Œ˜”~
“3~;†…^~;b–P“3…^† ‹V~+”Vˆ‰—˜~;“Q…^ŽVŒmš ‚³‹V~;Ž œŒ,Œ>7
! ˆV,›‹7œ-Qœ“3“3m^~;b”~2–P…^“3~+,†~1=³‹7œ’”~;~;ލ“3~;†…^~;¦
Κ‡V,„)œŒ,Œmš?$³‹V~•”Vˆ‰—˜~;“ ‚³,Œ,ŒQ”~ ’3,†ˆVŒmœŽV~;…^ˆV’3Œmšx‡V“3…„;~;’3’3,ŽV@7
! ˆV,V’ …–ƒ†!œŽ™š ’3…^ˆV“3„;~;’$œŽVfm’
…^ˆ‰‡Vˆ‰(‡V“3…„;~;’3’†!œ)šb”~“œ-‹V~;“d„;…^†‡VŒ,,„)œ-~;¦(ÎU‹V,’d,’d,Œ,Œ,ˆV’F“œ-~;›–P…^“Q‹V~’3‡~;„;ÏœŒè„)œ’3~S…–¡®‚…
,ŽVV~;‡~;ŽVV~;Ž™Q…^ŽÑ®…—¨’3…^ˆV“3„;~;’Q,Ž#A7^ˆV“3~&B ¦
®Ž‹V~%…^ˆ‰‡Vˆ‰è…–7®š‡~ Å 7
! ˆV,Ð¢PW¦ ~¦C$D7! ˆV,…^“3,^,Ž7Ŝ-,ŽVU–P“3…^† ’3…^ˆV“3„;~ Å ¤h‚~U†!œ)š+V,’F,ŽV^ˆV,’3‹ƒ…^Ž
œŽV …—¨‡~;“3,…V’;ˁ‹V~(…^ˆ‰‡Vˆ‰U,’%…—b‚³‹V~;ŽÐŽV…S®š‡~
! ˆV, Œ,~)œ)^~;’%‹V~(”Vˆ‰—˜~;“7$ œŽV …^Ž …‹V~;“F‚³,’3~¦
7
E
þ
¯ ü
S(G?TVU(WX L ?G JG HI
S(G?TVU(WX K G?GJHI
OQP F(R
N
M
L
F
G?TZY\[VTZY L LK
K
F
G?TZY\[VTZY K LK
F
F
F
]_^a` TVU(X Lcb_dZeJf [VgaX<[ e Y\hVS_GJi ^ HV[VTZYkjJlVTZImXU_WG?HnY\XHnY OQP F(R e HVoG?TZY\[VTZY_ipG?U2YrqsG ^ HVoVX[XHVoVXHnYG?HctrGJI
S(e G?TVU(WXSjVquL hVXU(X1Y\hVX ^ HV[VTZYvU e Y\X1GJiwS(G?TVU(WX K P U(XS([>xS(G?TVU(WX L R oVTVU ^ H ` Y\hVX1G?HctyY ^ f X ^ S K P U(XS([>x M R
HVo{z8| x
} G~qsX?XUj€Y\hVX0U e Y\X e Yuquh ^ WhYr‚c[Xƒ#„…T ^ ogaX e ?XSuY\hVX†lVTZImXUoVTVU ^ H ` e H{G?Hctr[XU ^ GcoW e H{Wh e H ` XJj
e SuW e H{lXS(XXH ^ H‡ ` TVU(X L x
ˆ XgaG~q‰qsX ^ HVo ^ W e Y\XhVG~q‰ e U ^ G?TVSs[XU:ipG?U fŠe HVWX‹Wh e U e WY\XU ^ S:Y ^ WSvGJiŒY\hVX1lVTZImXU e HVo ^ Y\SsG?TZY\[VTZY
[VU(GcWXS(SvW e H#e leX‹XZ[VU(XS(S(Xo e e S<Y\^ hVeX‹ga^ G?H ` trU(TVH ^ e ?f XU e ` X‹U(Xe q e U(o#ipG?U<S(T ^ Y e lVgC‚Ž^ oVX‡…HVXoU(Xq e U(oP S:fŠY\U(e TVWtR
Y\TVe U(Xe Sx8rH-o Y HV` XYrqsG?U( [V[Vg W Y G?HVSu^ „…T o e GcoVXgaSe U(X8TVS(Xo-e Y\GoVX^ S(WU lX8Y\hVX„…e G~q‘GJi S f gag
o Y WXga` gaS_Y\hVU(e G?T h8Y\hVX/HV^ f XYrqsG?U(€^ ’cY\hVX HV[Ve TZY^ U f Y\X/GJi e S(G?TVU(WXW fŠHŽe lX HnY\Xe U([Ve U(XY\Xo^ ^ SY\^ hVXuH“T le XU
GJiWXgaga^ S XHVXU Y\XoŽ[XU_Y XvTVH Ykxw”/hVXH H [G?U:Y HnY[XU:ipG?U HVWXvWh U WY\XU S:Y W S_Y\hVX/oVXg ‚
XZ[XU XHVWXo•ln‚WXgagaSx
–˜—“™…šQ›?—cœœ_ž2—cœp™nŸ¡ €¢<£ŸŒ¤— ƒ#¥¦w§ ž+¨ ”/hVX f X e H©Y ^ f X e Yr‚c[XƒŽWXgag e U(U ^  ^ H `†^ HŠS:Y e Y\X Ppª(«\¬ R
S(^ [XHVeoVS ^ HPpª(«\Y\¬hVXR ^lVTZImXU ^} S ¬Œ­J®{¯ ^ K ­ z€’ZY\hVX e ^ HV[VTZY/e U e Y\e XJj…G?UvH“e T f lXe U/GJi_WXgagaS e U(U ^  ^ H ` [XUvY ^ f X‹TVH ^ Ykj
HS:Y Y\X
S/z±°³²Jx XHVWXJj i2qsX†Y\U(X YuoVXg ‚cS SuU(Xq U(oVSj HVo{oVX‡…HVX
´ Pp¬_«\ª R |µz±°³² ¯ ® ¬ z «
Y\hVXf H6¶ ^ SX·“T e gsY\G•Y\hVX fe X e^ H6^ Y\` GJY e g<oVX^ gf e ‚Q¸ X e ^ U(HVXo>^ ¹[XU&Y ^ f f X©eTVH ^ Yk’+o ^  ^ o e ^ H ` ¶ºP¼ ln‚¡R Y\hVX f X e H
H“T lXU1GJiYr‚c[X©ƒ{WXgagaS U(U  H [XU‹Y X0TVH Y‹‚ XgaoVSY\hVX X HWXgag_oVXg ‚•» ² GJiYr‚c[X©ƒ
½
¾…¿VÀaÁ>ÂÃ/ÄVŎƩÅkÇJÈ-ÀaÈVÉV¿ZÊË\ÇDÊ\ŎÌJÍ+ÊrÎcÉŊϾ…¿VÀaÁÀaÐ1ьÒDÓÔuÄVÅË(ŎÒDÓ8ÁVÅÈVÌJÊ\ÅІÊ\ÄVÅ8ÕÌ?Öa¿VÆ©È×?ÅÕÊ\Ì?ˆÌJÍ
ÀaÈVÉV¿ZÊuË\ÇDÊ\ÅÐuұسÓJÂ<ÙcÌ Ú#۝Ü
Ûpê0ë@ì ì
ã
â
~
ã
V
ä
“
å
æ
ÓkÝ+Þ ÑŒßÒDÓáà ÒDӎè ç Ò Þ ÑŒßÒDÓé è ß Ò•é Ñ
Ý\í…î ÒDÓJï
Û
Û ðñòó~ôDñpõ_öŒó±ñp÷øù÷€ú8ó±û2üþý?ücÿÿ 2ücÿ ÷€ú8ÛÜ ó ü Ï öwñ Ã/ÄVŊÊ\ÀaÆ©Å#ǕÊrÎcÉÅ{Ï¡ÕÅÖaÖvÇJË(Ë(ÀC×cÀaÈ ÀaÈÐ:ÊÇDÊ\Å ç ÝÐ(ÉÅÈVÁVÐÀaÈ{Ê\ÄVÅ V¿ mÅË1ÀaЋÁVÀaÐ:Ê\Ë(À V¿ZÊ\ÅÁÇJЋÊ\ÄVÅ&Û Ð(¿VÆ ÌJÍ ç Å ZÉÌ?ÈVÅÈnÊ\À ÇJÖaÐÔuÀCÊ\ÄÆ©ÅkÇJÈ
Ì …ÈVÁÊ\ÄVÅ†Û ÉVË("Ì …Ç VÀaÖaÀCÊr$Î # -ë &Ó ,%('VÝ Zã ÔsņÁV)Å …ÈVÅ 4
ß è ÒZÝ ÅÈVÕÅ …Ê\!
+
í…î 5Ò 'VÝ
* ç ÝÞµÒ±Ø³Ó é ß /í .1032 â 4 äVå è 687:9 ï
Ã/ÄVÅ<È ;#ÎcÀaÅÖaÁVÐuÊ\ÄVÅ&Æ©ÅkÇJȕȓ¿VÆ ÅˋÌJÍÊrÎcÉÅ8ρÕÅÖaÖaÐÉÅËuÊ\ÀaƩņ¿VÈVÀCÊÊ\ąÇDʋŠZÉÅË(ÀaÅÈVÕÅ8Ç©ÁVÅÖ ÇkÎ{ÖaÅÐ(Ð
Ì?Ë<>Å =“¿…ÇJրÊ\?Ì 'A@nÊ\Ì&"Ì ZÊÇJÀaȎÊ\ÄVŋÁVÅÐ(ÀaË(ÅÁŠÉVË("Ì …Ç VÀaÖaÀCÊr"Î ?Û ÔsŋÁVÀC×cÀaÁVBÅ ;CnΎÊ\ÄVŋƩÅkÇJȊÀaÈVÉV¿ZÊ<Ë\ÇDÊ\ÅÌJÍ>ÊrÎcÉÅ
ë , ã
ê&ë &ì ,
Ï#¾…¿VÀaÁ>۝ÜÂÃ/ē¿VÐ
4
ã +
í…î
# &Ó %('VÝÞ ÑŒßÒDÓáâã~à äV哿 ÒDÓ ß /í .1032 â 4 äVå è 5Ò687 'VÝ 9 Þ ÑŒßÒDÓ8é <
Ñ D
/í Ú#.10FTÛ SEHG\í IJK2L ÒDÓJï
Û V
#
Ú
Û
T
S
M˜5ü …N
ø PO¡÷öwøó÷€ú‹ó ü QÏ öwñ µñøþó±û2ü-õ_ö R+ü“5ô Ã/ÄVÅÆ©ÅkÇJÈÇJÆ©Ì?¿VÈnÊ Ó~Ý/ÌJÍÊrÎcÉŎÏ
¾…¿VÀaÁŽÕkÇJÈVÈVÌJUÊ Åu"Ì ZÊÇJÀaÈVÅÁŽÁVÀaË(ÅÕÊ\ÖCÎ&ÍpË(Ì?ÆÊ\ÄVÅuÖaÀaÆ©ÀCÊ\ÀaÈ ÁVÀaÐ:Ê\Ë(À V¿ZÊ\ÀaÌ?È8ÌJÍmÊ\ÄVÅ W Ý_ÉVË(ÌcÕÅÐ(>Ð ZÐ(ÀaÈVÕÅ
ÔsÅ8ÁVÌ#ÈVÌJ&Ê XJÅÅÉÊ\Ë\ÇJFÕ X•ÌJÍÚ#Ê\ÛTÄVS Å&ÊrÎcÉÅ8ÌJÍÚ#¾…¿V۝ÜÀaÁÀaȕÊ\ÄVÅ V¿ mÛpÅê&Ë ë ì Ì~ÔsÅ×?ì Å>Ë Ó~ÝÕkÇJYÈ Å&"Ì ZÊÇJÀaÈVÅÁ
ÍpË(Ì?Æ Ê\ÄVņƩÅkÇJȁÕÅÖa֌ÁVÅÖ ÇkÎÌJÍwÊrÎcÉÅ&Ï#¾…¿VÀaÁ{ÇJÈVÁ•ÇJÉVÉVÖaÀaÕkÇDÊ\ÀaÌ?È#ÌJ[Í ZŒÀCÊ(Ê\ÖaÅ \ ÐvÖ ÇkԆÂÃ/ÄVÀaÐ/ÎcÀaÅÖaÁVÐ
Ó~Ý+Þ ÑŒÒDÓ ÓkÝ+Þ è ß Ò{é Ñ
Ý í…î ÒDÓJï
/à ÄVŋÍpÌ?ÖaÖaÌ~ÔuÀaȆÉÅË:ÍpÌ?Ë(ƊÇJÈVÕŋÕąÇJË\ÇJÕÊ\ÅË(ÀaÐ:Ê\ÀaÕÐvÇJË(ŋË(ÅÖ ÇDÊ\ÅÁ©Ê\Ì0Ê\ÄVÅ1Ì?¿ZÊ\ÉV¿ZÊvÉVË(ÌcÕÅÐ(ÐvÌJÍ>Ê\ÄVž…¿VÀaÁ
V¿mÅËÂ<Ã/ÄVÅ0Æ©ÅkÇJȁÁV¿VË\ÇDÊ\ÀaÌ?ÈVÐuÌJÍ_Ì?È/]vÇJÈVÁ{Ì^]rÉÅË(ÀaÌcÁVÐvÌJÍ_ÊrÎcÉÅ&Ï#¾…¿VÀaÁ{ÖaÅkÇk×cÀaÈ8Ê\ÄVÅ_V¿mÅËÇJË(ņÌJÍ
Ð(ÉÅÕÀ ÇJÖÀaÈnÊ\ÅË(ÅÐ:Ê1@cÊ\ÄVÅΊƊÇkÎ!ŋ¿VÐ(ÅÁ#Ê\ÌÇJÉVÉVË(Ì1ZÀaƊÇDÊ\ÅuÊ\ÄVŋÌ?¿ZÊ\ÉV¿ZÊvÉVË(ÌcÕÅÐ(ÐvÌJ͌ÊrÎcÛVÉÅώ¾…¿VÀaÁ$nÎ#ÇJÈ
ÅZÉÌ?ÈVÅÈnÊ\Û À k ÇJ֌Ì?/È ]rÌ Ð(Ì?¿VË(ÕÅ …Ð(Å?Å `¿VÖ XDÇJË(ÈVÀ Û a bc Â
Û
dŒô…ýJó±ñp÷øQ÷€ú/ó±ñO¡ü#óü Ïe öwñ ÿpü5fücòó±û2Û ü{õ_öÛ R+ü“ô5hg ÍÇDÊvk Ê\ÀaÆ©Åji<Ê\ÄVÅ W ÝsÉVË(ÌcÕÅÐ(Ð/ÀaÐ
ÀaȕÐ:ÊÇDÊ\Å Ý €Ê\ÄVÅ&¾…¿VÀaÁ{Ê\ąÇDÊÇJË(Ë(ÀC×?ÅЋÀaÈ i imlon"i(Ý/ÔuÀaÖamÖ Å&ÀaƩƩÅÁVÀ ÇDÊ\ÅÖCΊÊ\Ë\ÇJÈVÐ(Æ©ÀCÊ(Ê\ÅÁ À  ÅJp mÇDÊ
Ê\ÄVŋÐ\ÇJÆ©ÅË\ÇDÊ\Å1ÇJÐ<ÀCÊsÅÈnÊ\ÅË(ÐsÊ\ÄVjÅ V¿ mÅËÝ @ZÀaȊÐ: ÊÇDÊ\Å ç ÝÔuÀCÊ\Ä çYq Ê\ÄVŋÀaÈVÕÌ?Æ©ÀaÈ ¾…¿VÀaÁ©ÔuÀaÖaÖ …Ë(Ð:Ê
Ð:ÊÇkΩÀaÈ©Ê\ÄVjÅ V¿ mÅ4 Ë<ä ÍpÌ?Ës4 ÇÔuÄVÀaÖajÅ ÅÍpÌ?Ë(jÅ ÅÀaÈ &Ë(ÅÆ©Ì~×?ÅÁ ÇDÊ<Ë\k ÇDÊ\ŋÒZÝÂÃ/k ÄVÅÊ\ÀaÆ©ÅuÈVÅÅÁVÅÁŠÊ\Ì&Ë(ÅÆ©Ì~×?Å
ÀCÊuÀaÐ/>Å =“¿…ÇJÖ>Ê\$Ì rts î Ò±Ø n"i Ò€Û ÂÃ/ē¿V>Ð ÀCÍ2ÔsÅ0ÁV)Å …ÈVÅÊ\ÄVņË(ÅÔvÇJË(k Á•Ë\ÇDÊ\ÅÐk ÇJÐ
k 4 ä 4 ÀCÍ Þ Ò±Ø³Ó @
Þ w ux rß s î Ò±Ø k Ò ÀCÍ ççQq Ò±Ø³Ó qq @
* ç Ý+v
ÌJÊ\ÄVÅË:ÔuÀaÐ(Å ß
yz{>|}yz{&~"|€‚8ƒ…„|‡†1ˆ"{>ƒ†€"{_ƒ…{)‰Š†ƒ…‹}Œ/{>~‹ŽUyz{&ƒ†)y"|‘my’“{”y8Œ/•A{–$—P„‹}~{1†1ˆ"{>Žhyz{&˜„™š{>ƒ>›
œ 5ŸP ¡ £¢¥¤Y¦5§¨^©ª«¬ – ¨A £­¬5§‚®¨¯¥°_¬5§_ª®¤±“¢¥ ¥®Tª²´³ "ƒŽ…’“•~>py8Œ_‰U{B|µ‰(†Ž…Ž…„’“{
ž
yzP†‚yhyz{&ƒ…{>€"„~¶†‚y|€!·¸†ƒ…¹µˆ}FzP†|eºtzP†Žh{»†)y~pŒ‘"|{&޼yF†‚y{_|‘‰BzFze†~~AŽ…"„ƒ…>{>Ž”†ƒ…{&™½/yzŽ
ŽŠŽ¼yF†‚y{_¾›¿À|}޼yF†‚y{“ÁÂÃÄ8Å´‰Bpyz‡ÆÇKÈjÉʾC†|‹¸ËtÍÌ ÎAÏ ÆÇ ͣР¾yz{ºt•ƒ…/>{>Ž…ŽB’$†¹{>ŽB†yƒ†|Ž…py"|
ƒ…"’ÑÄBy‘Òe‰Bpyz±Æ>Ó¼È Ð ¾Ô¥yz{>|ÕyzŽ_yƒ†|Ž…py"|Q€"{>|{>ƒ†‚y{>ކe|{)‰Öy8Œ/•A{}–Q"|/8•A{>ƒ…/‹£›$¿Ày‰B~~
޼yF†ƒ¼yІ޴ޅ/"|‘†Žyz{j>„ƒ…ƒ…{>|yŠ˜„™š{>ƒ´>"|y{>|yŠzP†Ž´˜A{>{>|‘ƒ…{>’“µˆ"{>‹£›¿8|$1†Ž…{&º×’$†¹{>ŽU†_yƒ†|Ž…py"|
yC¾Ô/yz{>|‘yzŽ´yƒ†|Ž…py"|$"|~pŒ!€"{>|{>ƒ†‚y{>ŽB†?|{)‰×y8Œ/•A{–“"|/8•A{>ƒ…/‹$p£yz{Ø|{»/yŠyƒ†|Ž…py"|$º
ŽŠ‹ƒ…{>)y{>‹‡y_Ò!‰Bpyz‡Æ>Ó¼È Ð ¾› ³ „ƒ¼yz{>ƒ>ԍp¥|}޼yF†‚y{“ÁÂÃÄ8Å´‰Bpyz‡ÆÇKÈ Ð ¾?yz{?ºt•ƒ…/>{>Ž…ŽB’$†¹{>ŽB†
yƒ†|Ž…py"|¸y‡¾Ôšyz{>|YyzŽ”yƒ†|Ž…py"|<€"{>|{>ƒ†‚y{>ކ‘|{)‰Ùy8Œ/•A{$–¸"|/8•A{>ƒ…/‹£Ôš•ƒ…µˆ/‹{>‹Yyz{C|{»/y
yƒ†|Ž…py"|}ºžŽh‹ƒ…{>)y{>‹‡y“޼yF†‚y{jғ‰BpyzeÆ>Ó¼È Ð ¾“†|‹‡yzŽhyƒ†|Ž…py"|‘yF†¹{>Žj•~¶†>{†‚Ty{>ƒhyz{
˜„™š{>ƒØzP†ŽØ˜A{>{>|Y{>’“•y{>‹£›_Ú/„’“’$†ƒ…Û>|€Ôy‘"˜yF†|eyz{’“{1†|<|5„’˜A{>ƒØy8Œ/•A{“–e"|/8•A{>ƒ…/‹Ž
•A{>ƒhy’“{؄|py1ԉU{Ž…z"„~‹‡‹{)ÜP|{_yz{_ƒ…{)‰Š†ƒ…‹eƒ†‚y{>Žj†Žh"~~µ‰BŽ>›
Ë ÓFâ ãäæåFç/è^é Ç ÓUê é ÇKè é èÓ>ë é è8èìp¥ÆÇKȔÉN¾Ã Ë ÍÌ ÎAÏ ÆÇ ͚Р¾½
à
Ý ÁÂÃÄ8ÅÉ:ßÞ Ë ÓFâ ãäæåFç/è ê é ÇKèFíî é èÓ>ë é è8è p¥ÆÇKÈ Ð ¾½
yz{>ƒ¼‰BŽ…{Ã
ßá ¾
‰Bz{>ƒ…{í±ŽŠyz{_•ƒ…"˜P†˜~py8Œ“yzP†‚yj†Cï5„P†|yF†!ŽB{>’“•y{>‹}˜A{)"ƒ…{?ºž~{1†1ˆ"{>ŽB޼yF†‚y{¾ÔPŽ…
íYÉ Æ?ð ê Æ è8èPñ
é
ð
ò y{&yzP†‚yhyz{_ƒ…{)‰Š†ƒ…‹¸ƒ†‚y{>Žj†ƒ…{&¥yz{&"ƒ…’
Ý ÁÂÃÄ8ÅÉNó"ÇôöõǶí î ñ
÷ {>|>{Ô´pBšȑ‹{>|y{>ŽCyz{}’“{1†|¡|5„’˜A{>ƒBy8Œ/•A{e–ø"|/8•A{>ƒ…/‹Ž?•A{>ƒ?y’“{$„|py!†|‹öóՆ|‹öõ
‹{>|y{&yz{_>"~„’“|}ˆ"{>)y"ƒ…Žj[ó"dž|‹¸õÇÀÔyz{>|‡‰U{€"{)y
è î ÁóØôöõFí î Å
è
îÎ ÿ
î‚ü Çþýÿ
É èÁ?ê_Å Ï ó&ô èÁ?ê¡í_Å Ï õ É móØô
´Á?ê_Å>Á?êøí_Å Ï õ ñ
ÿ
ÿ
œž5ŸP ¯¥¢m§Ÿª®¨A ʨ^©_ª«¬ – ¨A £­“ŸP ¥¯t¨ [­¬5§‚®¨¯¥°² {)y_„Ž_‹{>|y{Cyz{C’“{1†|Y"|/”†|‹
™^8•A{>ƒ…/‹ÕŠy8Œ/•A{‡–Q"„y•„y˜ŒëÈ †|
‹ ë È › ³ „ƒ¼yz{>ƒ>Ô~{)y?ÆÈ ˜A{“yz{$’“{1†|±"„y•„yƒ†‚y{
‹„ƒ…|€Cy8Œ/•A{–}"|/8•A{>ƒ…/‹Ž>ÔÈØyz{_ƒ†)y"|}y’“{”y8Œ/•A{–‘—P„‹‡~{1†1ˆ"{>ŽByz{˜„™š{>ƒj†|‹ešÈ&yz{
’“{1†|‡|5„’˜A{>ƒB¥y8Œ/•A{–‘"|/8•A{>ƒ…/‹Žh•A{>ƒŠy’“{&„|py1› hz{>|epyBƒ…{1†‹~pŒ“"~~µ‰BŽŠyzP†‚y
È
B
ê È Ã
ƂÈ
É
É
Ã
É
Æ
È
È
šÈ
È
šÈ
È ñ
šÈùÉ
úû
ÁÂÃÄ8Å Ý ÁÂÃÄ8ÅÑÉ É ú
!#"%$'&)(+*-,/.$102,/"43#.5$
687:95;<=?>A@75BDC8EF>A@GF75F7IH-J75B?7:KJ7:>A<LFMKD>A=ON75<75BCK75@QPSRTVUXW8>A<@75LY75<@75<SKZ;<\[];_^
=?;FB?9575=5`-abJ7dce7+C_<2;<\[fC_<@I;_^g[hK>Ace75=b;_i=?;FB?957jYkljDUnmoqp\oWMkgC_B?7r75GFC_stK;ImvujZC_<@8m`fabJ7
;_^g[hK>Ace75=bC_B?7r7qwMLY;<75<SK>xC_sC_<@ZKJ7y;<\[hK>Ace75=bC_B?7dz{;+wM>xC_<\[|p@>A=|KB?>APFMK75@`)abJ>A=1ce7+C_<=bKJCK-KJ7
;<\[hK>Ace7)N;\75=}KJB?;FNJCK~ce;=|KK]H{;'7qwMLY;<75<SK>xC_sMLJC_=?75=5kH->KJ/ce7+C_</sA75<N_KJ={mvu€]‚ ƒ{C_<@Dmvu€„?‚ ƒ`
abJ7f;<\[hK>Ace7)=|KC_B|K=~>A<dLJC_=?7…m`}†1i‡K75B}KJ>A=LJC_=?7_kS>K}95;ce75=K;'C_</75<@/H->KJ/LB?;PC_P>AsA>K]RmgˆŠ‰l]‚ ƒ_k
C_<@‹;_KJ75B|H->A=?7D>Kd75<SK75B?=/KJ7D=?7595;<@ŒŽC_<@‹sxC_=|KqrLJC_=?7_`I687DF=?7OKJ7Zz{;+wM>xC_<‹@>A=|KB?>APFMK>A;<K;
@75ce;<=|KBCK7'KJ7'7‘^l759‘KŠ;_i’_C_B?>xC_P>AsA>K]R“>A<DKJ7r>A<LFMK-=|KB?7+C_c”;<ZKJ7rPFM^l75B-95;<SK75<SKŠC_<@2;FMKLFMK
„
LB?;\9575=?=5`•…75<;_K7)KJ7–=?GFC_B?75@95;\7‘—e95>A75<SK};_i’_C_B?>xCK>A;<';_iKJ7–;<\[hK>Ace7PSRd˜q™
Œ‡H-J>A9Jd>A=tKJ7–=C_ce7
„1œžMŸ¡ i;BfC_sAsY=?;FB?9575=q`–šB?;›’\>A@75@Z˜q™
k\H{7'9+C_<¢cOCK9JOKJ7…ce7+C_<ZC_<@¢95;\7‘—e95>A75<SKb;_i£’_C_B?>xCK>A;<e;_i
KJ7r;<\[hK>Ace7…;_i}=?;FB?957dj¢PSR¢9J;\;=?>A<N:Œ9‘i¤`–¥IC_B?>A7e¦§mm5¨‡
€]‚ ƒ1U©pjYo
‰l]‚ ƒŠU
MŸ¡ u_˜q™
„
o
€„?‚ ƒ1U€]‚ ƒ¤‰l]‚ ƒ
Ÿ
abJ7y>A<LFMK-BCK7r;_i}=?;FB?957/j¢@FB?>A<NKJ7r;<\[hK>Ace7…>A=-75GFC_sK;Djrªžmk=?;“KJ7“«O¬­_®e>A<LFMK1BCK7'>A=
m`¯175<957_k£KJ7“ce7+C_<:K;_KC_s~>A<LFMK'BCK7>A=rWZC_<@#KJ7cOCvwM>Ac/Fc°>A<LFMK'BCK72Œ‡H-J75<8C_sAs}=?;FB?9575=
C_B?7r;<g{>A=-±M`
²]³+´}µ#¶ ·
²]³ ´ µ#¸
²]³ ´ µ2¹
²]³ ´ µ2·
60
50
40
30
20
10
0
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
º}>ANFB?7rWM»–¥27+C_<2PFM^l75B-95;<SK75<SK…C_=1C/iF<9‘K>A;<Z;_i}KJ7r;FMKLFMK-BCK7r™ei;B-˜q™
„
4
U
MŸ¡ o+moqp\o
`
¼1;_K7rKJCK-KJ7y=|KCK75=Š;_i}KJ7yB?75NFsxCK>A<NO¥IC_B?½_;›’29JC_>A<:¾¿9+C_<IPY7y@75=?95B?>APY75@IPSRZKJ7rKB?>ALsA75=
ŒÀI‘oÀ¢„+oÀ¢Á‘bH-J75B?7/À¢ƒd>A<@>A9+CK75=1KJ7d=|KCK7/;_i=?;FB?957“jY»-À¢ƒyUÂm/ce7+C_<=1KJCK…=?;FB?957“j2>A=Š>A<
mvp
Ã|ÄÅÄÆ/DžÈ_ÉÄÊÆ…È_ËgÌhÄÍAÎeÆ_ÏТÑ1Ò©ÓrÄÊÅÄfÍÄ{ÍAÃ{ÍAÔDÃ|ÄÅÄÆ'ÓdÅ_ÔբТÑ1Ò×ÖyÄÊÅÄfÃ?ÈØÙ?Ú5ÆrÛeÍAÔDÈÔÜ)Ý1Æ5ÔÚ5Æ_Ï
ÍAÔ¢ÄÊÍAÃbÆqÞÅ_ÎeßàAƅÄÊÆ'ÄÈ_ÄÅ_àÔØÎ/áYÆ5Ù-È_É}Ã|ÄÅÄÆ5Ã1È_Éâ©ÍAÃbÆ5ãØÅ_à£ÄÈeÖäåÒ×Óæ\Ü
ç Ô èéØÙ?Æ2Ö:ê{ÆZßàAÈ_Ä/ÄÊÆZÎeÆ+Å_ÔáØMËlÆ5ٓÚ5ÈÔSÄÆ5ÔSÄDÅ_ÓÅ:ÉØÔڑÄÍAÈÔÈ_É1ÄÊÆ¢ÈØMÄߨMÄeÙÅÄÆ¢ë8țìÆ5Ù
ÖMíÇ#îïëåî”ðIÉÈÙyì_Å_Ù?ÍAÈØÃyì_Å_àAØÆ5ÃdÈ_É1ñqëò›Ü ç Ä/Ã?Êțê-ÃÄÊÅÄdÄÊÆDÎeÆ+Å_ԋáØMËlÆ5Ù/Ú5ÈÔSÄÆ5ÔSēկ5Ú5Ù?Æ+Å_Ã?Æ5Ã
ê-ÍÄÊDë:ó‡ÉÙ?ÈÎïôõÄÈöS÷–Å_ÔÕ¢ÍAÔÚ5Ù?Æ+Å_Ã?Æ5Ãfê-ÍÄÊ¢ñqëò+Ü)øØÙ|ÄÊÆ5Ù5ÏMì_Å_Ù?ÍxÅ_áÍAàAÍÄ]ù/ÍAÔOÄÊÆ…ÈÔ\ÌhÄÍAÎeÆ5Ã{Ã?Æ5Æ5ÎeÃ{ÄÈ
ÊÅ+ìÆrÅ/Ú5ÈÔÃ?ÍAÕÆ5ÙÅ_áàAƅƑËlÆ5ڑÄ-ÈÔDÄÊÆ…áØMËlÆ5ÙbÚ5ÈÔSÄÆ5ÔSÄ-ßÙ?È\Ú5Æ5Ã?Ã5ÏÆ5Ã?ßYÆ5Ú5ÍxÅ_àAàù“ê-ÊÆ5Ô¢ÄÊÆ…ÈØMÄߨMÄbÙÅÄÆ…ë
ÍAÃbÚ5àAÈÃ?Æ'ÄȓÍÄÃbÎeÍAÔÍAÎ/ØÎúì_Å_àAØÆrÖMÜ
û
Æ1ÔțêQÚ5ÈÔÃ?ÍAÕÆ5ÙÄÊÆ1ÈØMÄߨMĖßÙ?È\Ú5Æ5Ã?Ã5Ü ç ÔeÚ+Å_Ã?Æ1È_ÉÆqÞÅ_ڑÄàù“ÈÔÆ-ÍAÔߨMĖÃ?ÈØÙ?Ú5Æ-ê-ÍÄÊeÆqÞMßYÈÔÆ5Ô\Ì
ÄÍxÅ_àÈ_ËgÌhÄÍAÎeÆ5Ã5ÏlÍÄ'ÍAÅüÔțê-ԐÄÊÅÄ'ÄÊÆÎeÆ+Å_Ô#ÕØÙÅÄÍAÈÔ#È_É)ÄÊÆÈÔ\Ì]ßYÆ5Ù?ÍAÈ\Õ:È_É)ÄÊÆÈØMÄߨMÄrßÙ?È\Ú5Æ5Ã?Ã
ÈÔàùIÕÆ5ßYÆ5ÔÕÃyÈÔ:ÄÊÆÎeÆ+Å_ԐÈÔ\ÌhÄÍAÎeÆdÈ_É)ÄÊÆÍAÔߨMÄ'Ã?ÈØÙ?Ú5ÆIóÔÈ_ÄrÈÔ#ÊÍAéÊÆ5Ù'ÎeÈÎeÆ5ÔSÄÃ÷qý£Ú‘ɤÜ/Ý1ÍþÌ
ÙÅ_ÃÅ+êfÅ:ÿ }Å_Ô
Õ È
áYÆ5à–ÿ ð Ü ç Ô2èéØÙ?Æyðeê{ÆyßàAÈ_Ä-ÄÊÆyÎeÆ+Å_Ô2ÕØÙÅÄÍAÈÔ2È_É}Ä]ù\ßYÆOÇyÈÔ\Ì]ßYÆ5Ù?ÍAÈ\ÕÃ-Å_ÊÅ
ÉØÔڑÄÍAÈÔ#È_É)ëZÉÈيì_Å_Ù?ÍAÈØÃ1ì_Å_àAØÆ5ÅÈ_É{ñqëò+ÜbÊÆ“Ù?Æ5Ã?ØàÄÅÃ?Êțê ÄÊÅÄ'ÍAÔ:ÄÊÆ/ßÙ?Æ5Ã?Æ5ÔÚ5ÆeÈ_É)Î/ØàÄÍAßàAÆ
ÍAÔߨMÄbÃ?ÈØÙ?Ú5Æ5Ã-ÄÊÆ'ÎeÆ+Å_ÔZÕØÙÅÄÍAÈÔDÈ_É}ÈÔ\Ì]ßYÆ5Ù?ÍAÈ\ÕÃfÍAÃ{ɎÅ_ÍAÙ?àùeÍAÔÃ?Æ5ÔÃ?ÍÄÍìÆ…ÄÈ/ÄÊÆ'ì_Å_Ù?ÍxÅ_áÍAàAÍÄ]ùÍAÔ¢ÄÊÆ
ÈÔ\ÌhÄÍAÎeÆ5ÃfÈ_ÉÄÊÆrÍAÔߨMÄ-Ã?ÈØÙ?Ú5Æ5Ã5Ü
1.6
1.55
1.5
1.45
1.4
1.35
1.3
1.25
1.2
1.15
3
3.1
3.2
3.3
ø}ÍAéØÙ?Æ#ð2Æ+Å_Ô×ÕØÙÅÄÍAÈԞÈ_ÉyÄ]ù\ßYÆåÇ
3.4
3.5
3.6
3.7
3.8
ÈÔ\Ì]ßYÆ5Ù?ÍAÈ\ÕÃZÅ_Ã2ÅÉØÔڑÄÍAÈԍÈ_ÉyÄÊÆ
3.9
4
ÈØMÄߨMÄ2ÙÅÄÆëåÉÈÙ
ñqëòfҍöMí\Ü
!"#%$'&)(+*-,/.1032546876)9:.1;.=<?>A@ bÊÆÙÅÄÆÎOÅÄÙ?ÍþÞ > Ú+Å_ÔráYÆÕÆ‘ÄÆ5Ù?ÎeÍAÔÆ5ՅÉÙ?È΍ÄÊÆãØÅ_ÕÙÅÄÍAÚ
Æ5ãØÅÄÍAÈÔ óð÷–áSùZÅ_Ô¢ÍÄÆ5ÙÅÄÍìÆ'Å_àAéÈÙ?ÍÄÊΰóÃ?Æ5Æ_ÏÆ_Ü éÜÏCt
B ÅÄÈØÚÊÆrÅ_ÔÕD1Å_ÎOÅ_Ã|êfÅ_ÎeÍ~ÿ E1‡÷qÜ/F…ÔÆ'ÎOÅ+ù
ÆqÞMßYÆ5ڑÄ-ÄÊÅÄbÄÊÆrÔØÎ/áYÆ5ÙbÈ_É}ÍÄÆ5ÙÅÄÍAÈÔÖÄÈeÅ_Ú5Ú5ØÙÅÄÆ5àùDÕÆ‘ÄÆ5Ù?ÎeÍAÔÆ > ÕÆ5ßYÆ5ÔÕÃ1ÈÔ¢ÄÊÆ'ÎeÆ+Å_ÔZÃ?ÍH5
G Æ
ǛÖ
IJLKNMOQPSRCTUVK-TXWXKNMOQUSRY[Z5O]\^IJ?_`KNO]\NT1KN_HIaUb/cd_HeHe5Z5OQefT\hgaO3_`JiKNMOQPSRCTUVK-TjT\hO3kaO]\mlnbhYoTeHe:pXTUqKNM_Hb
_Hbr_HUqO]O]qjs]IaUXtC\hYO]qjZVluUSRYO]\h_HsTeXOvXw5O]\h_HYO]UVKNb]xry^MOdPSRCTUVK-TT\hO^bhYoTeHe_`J5IaUO^IJzKNMO^UO{K|_HUwRXK
\NT1KNO]bA}-~?_Hb^s]eHIabhOKNI€]O]\hI‚ƒs{J=xA:„a…h…x
†
‡‰ˆŠ‹AŒŽr]ˆŠ
‚
U KNM_HbwCTw5O]\3c‘OjTUCTe`l€]OuTbmKNIs-MCTbmKN_Hs“’CR_HqYIqO]eZVl”Rbh_HUgnbmKNIs-MCTbmKN_Hsuq_Hbhs]\hO{KN_H€T1KN_HIaU•xy^MO
qO{KNO]\hY_HUCT1KN_HIaU”IJ|KNMOueHIaUg1–\hRUTkaO]\NTgaOj\hO{c—T\hq˜_HU‚KNMO™ƒs]IaUVKN_HUSRIaRb=–bmK-T1KNOš…A’CR_HqYIqO]e_Hb\hO–
qRs]O]q›KNIdKNMO|eHIaUg1–\hRU›TkaO]\NTgaO/\hO{c—T\hq“_HU›Tdq_Hbhs]\hO{KNO–bmK-T1KNO‘œQ—žŸw\hIs]O]bhb]x  U“qIa_HUgdbhIp1w5Išc‘O]\mJƒRe
KNIIaeHbAbhRs-M TbYoT1KN\h_¡vS–=TUCTe`lSKN_HsTe•YO{KNMIqb3Z5O]s]IaYOuTkT_HefTZeHOQJƒIa\AKNMO[bmKNOTqXlV–bmK-T1KNOjTUCTe`lbh_HbAIJ
KNMOA’CR_HqYIqO]e:xy^MOYO{KNMIqoIJibmKNIs-MCTbmKN_Hsq_Hbhs]\hO{KN_H€T1KN_HIaU•pSMIšc‘O{kaO]\]pCMCTb—TeHbhI“_`KNb/eH_HY_`K-T1KN_HIaUb]¢
bhIaYO“w5O]\mJƒIa\hYoTUs]O›s-MCT\NTs{KNO]\h_HbmKN_Hs]b3YoTlUIK3Z5O“OvXw\hO]bhbhO]q!Tb3eHIaUg1–\hRU”TkaO]\NTgaO[\hO{c—T\hqb]piTUq
_`K›qIO]b“UIK“w\hIšk_HqOKN\NTUbh_HO]UVK[\hO]bhRe`KNbJƒIa\KNMO’CR_Hq!YIqO]e:xn£CIa\›OvTYweHOp?KNMOœQ—ž¤sTU¥Z5O
RbhO]q”KNIqO{KNO]\hY_HUOQKNMO¦o§N¨©oqR\NT1KN_HIaU™IJ|Tjw5O]\h_HIq™IškaO]\AcdM_Hs-MKNMO’CR_HqZRXª'O]\A_HbdUIaUO]YwXKlap
ZRXK[_`KJ)T_HeHbQKNI‚qO{KNO]\hY_HUO_`KNb›q_HbmKN\h_HZRXKN_HIaU•x  U!KNM_Hb›sTbhOKNMOoqO]w5O]UqO]Us{l«Z5O{Kc‘O]O]U¥KNMOKN_HYO
UO]O]qO]qKNIutCeHeiTjPSRCTUVKNRY¬TUq™KNMOQKN_HYOUO]O]qO]q”KNIjO]YwXKlKNMCT1KdPSRCTUVKNRY¬sTUUIKAZ5O_HgaUIa\hO]q•x
­¯®°a®Q±²® Š‹ ® Ž
³µ´]¶[·š¸H¹i¸`º¸`»¸—¼½•¾?¿|ÀAÁ[¸¡¼¸‘ÂX¾?¿ÄÃoÅÅÆi¿|À3¹i¸¡¼¸fÇj¸^ÈuÉzÊËÌ¿LÍľ?¿L½ÏÎи`Èn¸µÎиAѕҕÓLÉzËÌ¿LÓi¾?Æi½LÔ
 ´šÕaÕaÖ …“×3UCTe`lbh_HbuIJQT˜bh_HUgaeHO–bhO]\mkaO]\jPSRO]RO”_HUVKNO]\NTs{KN_HUgcd_`KNMŸT’CR_HqŸ\hO]bhO]\mkaIa_H\]xؗÙC§{ÙC§{ÚÌ©Û
ÜzݚÞ{ß §{¦ Þ pzàzá•pzâ ´ â–=âaâaãXx
³ „ ¶[·š¸H¹i¸`º¸`»¸d¼½•¾?¿ä¾?¿L½å¹i¸¡¼¸fÇj¸3ÈuÉzÊËÌ¿LÍ : „æaæaæV…׉Kc‘I1–eHO{kaO]e/KN\NT1çsobhMCTw5O]\›JƒIa\“TU¥IaU–Iª
bhIaR\hs]Ox'èd§{éÌêë1馨©'ì-§í‘î1¨ïµÙ¨ ß Ú:ë1©Cpð'à•p5„añ Õ m– „ ÕaÖ x
³ â ¶[Ô¸C¼¿LËÌҕò‘À'Ô¸zó%ËfÔiƕ¾¾?¿L½ óϸ`óϸ'ѕſL½?ÓLË  ´šÕaÖ „a…?ôSKNIs-MCTbmKN_Hs/KNMO]Ia\ml“IJ5TAqCT1K-T–MCTUqeH_HUg
bmlbmKNO]Yõcd_`KNM™Y[Re`KN_HweHO\hO]bhIaR\hs]O]b]x^ö•÷C§ø§{ïÌï ÜzݚÞ{ß §{¦ùö5§-ì-÷©CÚ:ìN¨ï5úCë1Ùé©5¨ïµp5ûiüCp ´šÖ ñ ´ – ´šÖaÕý x
³ ý¶[»¸^þ¥
ÿÅ 'É  ´šÕ ña…3œRO]RO]_HUgnYIqO]eHb3_HUVkaIae`k_HUgZRXª'O]\hb]p”T1KNMO]YoT1KN_HsTe‘O]UVKN\hOuy?\NTs{KãaæXp
×3YbmKNO]\hqCTYx
³ ¶
‚¸jËÌÆ•¾?ʚ¾Q¾
:„æaæaæV…×3ww\hIvX_HYoT1KN_HUg™KN\NT1çsowCT\NTYO{KNO]\hb“_HU!Y[Re`KN_Hs]efTbhbQ’CR_Hq¥UO{Kc‘Ia\Sb]x
M ž KNMO]bh_Hb]pžO]wXKxVIJ=xw5O]\]xdO]b]x`pAU_`kaO]\hbh_`KluIJAIa\mKNM—T\hIaeH_HUCTXp‘MCTw5O]eA_HeHe:p„añ ÕaÕ –
C
â ´šÖ æXx
³ ã ¶”¸•þ”¸!"Sò?¾?Æi¿LË  ´šÕaÕ ña…L£eHR_Hq“YIqO]eHbLJƒIa\bh_HUgaeHO‘ZRXª'O]\rbmlbmKNO]Yb]p#•éNë1© ß Ú:§{é Þ ÚÌ©‚Ø—ÙC§{ÙC§{ÚÌ©Û$
% ë'&S§{ï Þ ¨©(&*),++5ïµÚ:ìN¨ ß Ú:ë1© Þ ÚÌ© Ü ì{Ú:§{©'ì-§™¨©(&푩ÛÚÌ©'§-§{éÚÌ©Ûp|âV„ ´ –=âaâ Ö p.-²q•x0/Xx1›x²žbhMCTefTeHIšcp
³ñ
23 \hO]bhb]x
¶”¸fþ”¸,!"Sò?¾?Æi¿LËd¾?¿L½4‚¸`Ô¸^þV¾5VÉ'Æ'ÅÅò :„æaæV„a…6RXKNwRXKTUCTe`lbh_HbIJ‘Tbh_HUgaeHO–ZRXª'O]\
Y[Re`KN_¡–s]efTbhbdPSRO]RO¢£—
£²ô”bhO]\mk_Hs]Ox'y?O]s-MU_HsTe1dO]w5Ia\mK7AIx6387681y9åæ ´ –:p5RUqO]\\hO–
k_Hbh_HIaUJƒIa\X
/ xC×3wwe:x \hIaZ•x`x
´ý
; <>=@?*AB0CEDGFH"IJ"KLCM"NPO*AQRCS6CT'U7CSVXWZY\[[]^R_a`cbdegfhjilkEmnhcofprqEsEotilhcbuveg`cdbfhjilkEmxwybf
z s{eg|h~}€Ehcf:ilk}€qEp'e>ilkƒ‚Efborpr||pr|r„"…E†G‡,ˆˆ(‰j†GŠ,‹lŒ\†cŽ({GŽ‘’g“”}Z‘•>–E„
; [>=@?*AB0CEDGFH"IJ"K—CM"N˜O*A1QRCS6CT'U7CSV,WZY\[[[^3™›š{œ‹lŒ'žgŸ{ tœ¡¢Œ>š£œ€ŒX¤¦¥gœ‹›¡~§@‡6š(¥g‰©¨>œ¡¢ 7¤«ªtœ­¬{Œ'ž”®
¡­š*¯œ€Œ\ °¬E¥”®tœ¡¢ 7¤«Œ'žªt‰©¡­š±g„{²³€_7´«„
;©Y\“>=RQƒAjµnAGB,KM"V­M¶CM"N¸·RAjQƒAG·C¹DGJGCT\C¹CEDGJ»º¼W¢½g““Y”^_¾orbmn‚Esi°e>ilhcbu{eg`eg‚E‚Efbego°knwybf.¿{sEhcq
z sEprsEpr|qEfhjÀpruÁÂ!ilfsEuEo'e>ilprqÃEhcf:ilk}€qEp'e>ilkƒ‚Efborpr||pr|r„¤«ªtœ­¬{Œ'žŒ>‰cŒl±g¨¥gš(ž*Ä0Œ>Å6ˆ(Ÿœ¡­š±n¡­šÁ‡,ˆ(Æ
ˆ(‰©¡¢ªlžXŠ,‹lŒ°¥r¡­‰©¡­œ¨>ŽÇŽ]•g]”}Z][½„
;©YYr=RQƒA~ÈÃA(ɘC¹GV­KÃWZY\[<“^Ê2eg`corsE`Ëe>ilhcuEdp z sEhc`chcEfhcsEmL‚Efb{egEhc`chjilhcpr|"wybf.ÌWyÍG^ÎgÏ2Ð'΁Y”ÎrÑ z sEprsEpgށhcuÒ
Š,‹lŒ\ °ª°ªlžg¡­š±”®6Š9ªt‹­Ó'Œ>‹›Ån¥gš» °ª{ԁՁÖ>ŽE×bfbuilbEŽGYY”•\}°Y”½’„
;©Y”½”=RÉ4AjØAÙ@KHGDGTnWZY\[<Y”^2¤¦¥gœ‹›¡~§Æ±ª°Œ>Ūtœ‹›¡¢ ®\Œ>‰©Ÿœ¡¢Œ>š®7¡­šÁ®tœ€Œ\ °¬E¥”®tœ¡¢ Ō'žªt‰ ®t„×3kEpÛÚgbkEuÁÜb‚}
Ý hcuE|ÞuEhjÀprf|hji€ÂÁß1fpr||rŽ(à2eg`jilhcmnbfpg„
;©Y\]>=O*A0QRCS6CT'U7CSV9WZY\[[[^´*e>ilfh~á£egu{eg`jÂilhcomnptilkEbqE|wybf6|:ilbo°k{eg|:ilhcoÛ¿{sEhcqÿ{b\â9|rŽhcuÒ!ã(ªt‰cªtÆ
œ‹¥:ä¼ 9å,š±g¡­š»ª°ªt‹›¡­š±Û¡­š*¥ƒÄ0Œ>Å6ˆ{ªtœ¡­œ¡­ægª!ç*Œ>‹›‰jž”èŠ,‹lŒ\ °ª°ªlžg¡­š±”®7ŒZӜ­¬{ª3™›š{œ€ªt‹›š(¥gœ¡¢Œ>š(¥g‰ã(ªt‰cªtœ‹¥:ä¼ Ä0Œ>š±g‹lª°®°®°è™ã0ÄÆ:éê>Ž»Y\“Y\[”}°Y\“]“ŽEë1qE|r„ß„ì7ptÂÃeguEqÃíR„²mnhjilkŽ{ë1qEhcuEsEfdkŽë1`c|ptÀhcprfr„
Y”’